Question
Find the cost to have your lawn mower for 2 hours.
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)
- $16
- $17
- $18
- $19
Hint:
In direct variation, one quantity increases on the increase of another quantity.
The correct answer is: $18
$18 cost to have your lawn mower for 2 hours.
From the graph when mover 2 hours’ cost is $18.
Hence, the correct option is D.
The graph of a direct variation is a straight line.
Related Questions to study
The table shows two sequences of numbers.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAeoAAABXCAYAAADLTgYlAAAXxUlEQVR4nO2dvW6rStfH/7w6V3G0FUUM15AislO4ML6AFLYrS8+jSEO9FZqUbrBObaToPJKrQJELCClSBCvFvgaDomhr3wZvkTMcPgaMPzCQvX4SUoLxzN8DzJpZaxYoURRFAPD333/jv//9LwiCIAiCaA9//P33301rIAiCIAiiAEXMqAFAUZQmtRAEQRAEASBhmvFH2YcEQRBZFEXpTD/RJa1At/SS1vrITpr/ryEdBEEQBEFUgAw1QRAEQbQYMtQEQRAE0WLIUBMEQRBEiyFDTRAEQRAthgz1b4KmaVAUJbcZhtG0NIIAABiGAUVR4Lpu01IKGY1GqftH07SmJRWS1dql9FvXdaEoCkajUdNSciwWC2lfWue1S4b6NyEIAjiOgyiKUlsYhlAUBev1ummJxG/Ker2Goii4urpqWkopmqZhMBik7h8xAG4bo9Eop5VzDkVREIZh0/K2MplMwBhrWoaU9/d36Lqe60ujKMJ4PK6lTjLUvzlPT09wHAf9fr8TNzDxtXBdF7PZrNZO7lhsNhvc3t6m9j09PQFA67wAT09POa3L5RKMMTw+PjakqhqGYYBzjuFw2LSU1kCGmsB4PIau6+QGJ07OeDzGZrNpWsZB6LqOj4+PpmV8CcIwhG3b+P79e9NSWgUZagIAMJvN4Hleap9wiye3xWKR+7zIbT4ajcj4E0RLCMMQQRDg8vKyaSmFGIYBy7KgqmrTUloFGWoCAHBxcQEAsdFdr9dgjKXiL0EQwDTN2M2nqip0XcfDw0OuvDAM4XkeptPp6X4EQTSA53mtNn7A5/3IGAPnHL1er2k5UtbrNTzPy7nsCTLUxD9kR7C9Xi/3bFxVVcE5x+vra7xvNpvBtu1ceY+Pj2CMtbZTIIhjsFgsWnudJ1d9M8ZgWRaWy2XTsgqZzWZwHKdpGVs5Pz+H53k5b2Oda3zIUBM7k7wgxQKg7GKa+/t7zOfzk+oiiFMShiFM08RqtWpaipSnp6eUR+zl5aW1GR6u60LTtNYvKASA29vb3Gpvx3HAGEuFBo8JGWoCAApHg9lRo2z2zDlPdVbr9RpBEHTipiOIfRGz1DbOpmU8PT2Bc47ZbNa0lByTyQR3d3dNy9ib8XgMx3FgmmYt5ZOhJgAAv379AoC40xG5rdnca8557rvT6RSe58XG/uHhQXocQXwVNE2Druudi6dOp1MEQdCqVEyRjtWVAU8RYp1PHW2bex818XuSNa7i/yqz4l6vF+dn3t7ewrZt+L5fp1yCaIzRaARN0+IcauIwnp+fEQSB1FsH/Ptu5i69T/rYkKEm4LoubNtGEATxvjAMpSkSRaPFm5sb3N/f4+zsrLWLawjiUAzDwGaz6Wzu99vbGxhjrUp/KmpLwzAQhmFnBkRiAW0dbUuu798cwzAwmUzg+37qAhsMBrBtO2WYNU3L5VoLrq+vEQQBJpMJbm5uatdNEKfGMAzYtt16Iy3CVtlBteu6rV781gXEorcsi8UCpmni+fm5noqjBJl/iS8EYywCkNssyyr8jmVZuWMdx4l0XZcer+t6BCAKgqCun0G0gGP2E47jSK9LsTmOc1D5x9IaBEGpTgCR7/sH13Msvb7vSzUek7rtBee8sK/Zlbqv2WPpFGT1Kv/sBPAZC4h+4zgAcRhdc1UR+9GlfqJLWoFu6SWt9ZHVS4aaOBpilTilZX1tutRPdEkr0C29pLU+snopRk0cBfHAEzLSBEEQx4UMNXEUVqsV5U4TBEHUALm+CYLYiS71E13SCnRLL2mtD3J9EwRBEESHyM2oCYIgCIJoluSMOvdksi65BwiCOD1dciN2SSvQLb2ktT6yk2ZyfRMEQRBEiyFDTRAEQRAthgw1QRAEQbQYMtQEQRAE0WLIUO9A0VtpuoKmaVAUBYqiwDCMpuXkGI1GrdR1CsIwhKIoWK/XlY43DAOj0ahmVQRBtIFWGGrRSZWlhy0WC+nrxYhqGIYBTdMQRRGiKMJyuZQeI85D2dYGYyq0El8L13WhKEprByFisN62+wH4tx8t6ydl+sXjf09NFb2CxWKR071YLGrXuGt7yXQeg1YY6l+/fsV/n6Lxf0een58xm81Kj1kul7Ehj6IIvu8DAIIgSO2XGfku8DvP2LvCZDIBY6xpGVJc10W/38/dD7ZtNz6wGI1GGA6HsCyr8BihP3uPTyaTk/e7VfQKNE3D/f19SncURbi9va1V467tNRqNcjo550fxwrbCUAssy4Jpmp11LbeZIAialnBUxKCC+DoYhgHOOYbDYdNSpNzd3cGyLKiqmtrv+z48z2us39I0DbPZDJvNpvS48Xicu2d6vR4sy8L9/X2dElNU1QsgHlhXOfbY7NJeruvC87yczuVyCV3X8ddffx2kpVWG+vr6+ig/iiCIbhGGIWzbxvfv35uWUsrZ2VnTEnJsNpuD3lp3eXl50oF8Vb3imlitVidQVR1Ze5W9lGg2m8G27YPqbJWhBj5HrbZtV1pUU7SgRrYwR8S+gE8XhSyGII4RW9kIORuLKIpbZMuUlZtcpJbUtm2EnoztF8VtRHnAp1vxmHGTXcm2RZm7LXmc7BzL1iwI13YyrmQYRhzP9jwPtm1L699FW5HOolibLPa/C9nr9St6nAzDkM5W28RwOMTd3V1u/3w+B+e81dq7yI8fP8AYQ6/Xa1rKVjabDa6urqSfXVxcAMBB923rDHWv1wPnfGs8dV8URcFgMIhjCLquQ9M0GIaB1WoV77csC4wxaeMOh0O8vLzExwZBII1bLBYLTCaTVMzCcRwwxqQDkeFwmNJWduMvFgswxuD7fqp80zRThu3p6Sl23ziOEx93atbrNSaTSSq+9/LykmuH5+dnKIqSOs7zvMqx5efn51Rcablcxm5yXdfBOc/FuKpqy6JpGizLir8zn89zOoVhTZ4jy7Iqr/AWxj95rTHGDh6ht4n1eg3P82qPOR7KcrmMMyfEuRPnp6vrNgDg7e0Nuq43LSPHx8dHKxcQy9orCAJ8+/ZNerzox5NrsXYmSpD592T4vh8BiIIgiKIoioIgiABEjuPEx1iWFTHGUt/jnEe6rufKE9/3fT/e5zhOrsxk3bJysseLYznnuWMty0q1n9AgflOZ7rJyi8j+vmy92d8p27eN7Hk5BMuypG2cRNd16TUozl22vOz1IL5fpFfX9cJzt01blrLzW6VcznlKf9k1K6Pomj0Fx+4nGGOpa7Povt6HOvo0ca72uae2cahe2X1Rpc59fscx2rZML+c84pzHfWtysyzr5FqTZSXbS3bvyr5T9rns+CStm1EDnyMQy7IwmUyOXnY2NiLcKrIZvK7r+Pj4yO2XxdGur68BIB5pPz4+Qtd16az46uoKnudVKleG67qFLiFVVaHrOl5fXyuVdSrOzs4qLbiRxXl2cR3t44Ksqi2JqOPx8bHwmPv7+0LP0HQ6RRAEpXW+vr4Wxr2K9ncN13WhadpBMdZTMhqNwBhLedK6nCZoGAZ0XW9t+wvPUZTwSAVBANM0G8ngaKq9WmmoAcRusKbTtd7f3ysdlzUO7+/v8DxPmod86ABkm0tIVdXa45iyuGvZjTMej8E5B2Ns747tINdRCftq830fpmkWrlEoc4f9+eefAMp/UxiGOD8/r6yni0wmE2nct42MRiOoqhqHjsTfIgWnaywWC9i2jaenp6alFMI5z4VEVFWF4zgnD/802V6tNdTAZ0y1y+lauq7ncv+SW5fJ5lxHFfKrxXdEjLZNnds+2nq9Xm5m1dTDI7qISMfqwmIhkX4ju8aXyyUYY41PKnbBdV2Yphk/K6GtFPX9x1igtQtl7SUmaT9//pR+V2gUg/N9aLWhHo/HYIx1Il0rezLOz89ry/07OzsrLTsMw1avQL29vUUURWCMte4BJPtoEzOrbLiGMVZ484qZ9Labt6pHp4s8Pz+nVuGLzbbtlDeqDXx8fJQ+iEXTtM6cK7F40vf9Vg+Srq6uCvu5urxrMqq0V1GYFPh39fohfXKrDTXwmZ9m27b0JigyhmVxw2MgK//x8TF1MkSuXdVnN+/CxcVFYdlhGMLzPEyn06PXe2za+mALYD9tl5eXuTKKckAfHh4K1zAIBoOB1L0n8ku7zmazkXqaOOcpb1QbODs7K8013mw2nQhThGGIfr8Px3FabaSB8n7u7e3tYONXhartNRgMYJqm9LPVaoWbm5uDdLTeUIt0LVnHdH19jSAIUi4nwzBqf8rO/f19KgVqvV7DNE3M5/Oc7n6/n3PPiNzefVFVtbBsxlgr3YnZdCRhbIpyD+tgMBjg+fn5KNpk53A+n6fSNr5//y5NLROxrm2hAhGby15rjLFWptN8ZYR3T7Y2RJyftqeXhWEIxhgsy2rt4rEkyX4uyWKxgGmatT8IZZf2ur29BWMs98yH0WiEzWZz8LXRekMN/JujmL1JVFWNVwAm3WR1P25us9lAVdW4zn6/D9/3cydzuVzGedNJ1975+fnBeZdFZfu+38qcziAI0O/3Y50iB/yUHYa4WbIPNdlH23K5zD1wRlXV1EIT4RIXueFiEzn4VWYDURRhs9mkrrUoijAYDA5sDWJXNpsNhsNhzlWvqmojj7gUJN+KZ5omgiCQPoRHhBCT/eW2Bws1qRf4vM+S60YURYmfp133ZGTX9hLXQB3XhhIlfEuKorTG1UQQRDvpUj/RJa1At/SS1vrI6u3EjJogCIIgflfIUBMEQRBEiyFDTRAEQRAthgw1QRAEQbQYMtQEQRAE0WLIUBMEQRBEi8mlZxEEQRAE0SzJ9Kw/yj4kCILI0qWc1C5pBbqll7TWR3bSTK5vgiAIgmgxZKgJgiAIosWQoSYIgiCIFkOGmiAIgiBaDBlqolUoigLXdSsdaxhG5Tf+uK57UFaD7Pu71H9sNE1Lvd6VIIjTsVgscm/Tyr5y+Ji0ylCPRqPafzDxdbBtG3d3d03LaISbm5va37teF+L1oLJ3OwvW63WuI6w6gDsGh9QvXuOYfMd5nci0bhvEyQxNUwO/be0l7MKpjOI2XNeNX1UrNvHK4brOeWsMdRiG8DwPnHM8Pj42LeckNDkj6zqu64IxVvs7advK9fU1giA4mTE4FqPRCMPhEJZlFR7jum783m2x+b6PyWRyEmNySP2nNnbr9TqnNQgCmKYJwzCk39E0LX6nc3IT72s/JdvaS9O0+L3uYrMsq1ajuI3xeJx677zYxznHfD6vpc7WGOrHx0dwzjGdTjs7UyBOx2q1wnA4bFpGY6iqCl3X8fb21rSUymiahtlshs1mU3rceDzO5bz2ej1YlnWSvmHf+sMwhGmaWK1WdUtM6cpqVVUVjuPAtu3c8cJ4bzsHp2Bbe7muiyAIsFwuU/tvb2+h6zoeHh5OIbMy0+kUnufVUnZrDPX9/T2m0yl6vV4nZwrEafE8D9PptGkZjTIYDPDy8tK0jMpsNhuMx+O9v395eYkgCI6o6Lj1//XXX+Cc488//zyhquqEYQjbtk86kCijSnsxxk6o6DjU4ZZvhaEOwxBBEMRuTM65dLQkYlvr9ToXYxGGXRyzLa6UPa4oRlPknk5qESQXHBmGURhTEdpt24bnefExRa6qJKKObfGaKjG25G9I6hW/KfnbRRxpW2wxG08qcu1n23+XEIDQV3SDZ6+NbbHFbDtVOQ9lZNtA1l6ibZPtkGyD7HmWXZuXl5e1jeCJ3Viv17BtOzf7a4rX11foup7a9+PHj9aEi6q018XFBYIgyN2/6/Uanufh+/fvdcvcC1VVj15mKwy1cHsLptOp1G0j6Pf7qWC+ZVno9/tYLBZgjOXiStkTLY7zfT8V+zBN8ygxY0VRcH5+HpfLOU+NDG9vb+P9uq7Hx227yReLBSaTydZFDK7rYjabSWNsMk/FbDYDgPjY5I0sBhKr1Sr+HIC0nWTxJLE/yXq9BmMMjuPExw0Gg8qrsn/+/AnGmPSGMAwDpmmmNNzd3WEymeSOFcYwqSOKIjw/P5cORsoQ7t1keZqmSdtrs9mAMYYgCBBFURz3Wq/XmEwm8f4oivDy8pI7d2Kg8rt4n97e3nLGpy31z+fz0rj7KTEMQ2oEPz4+9r6uj02V9lJVNe63xP0j1g/4vl+LQTyEWq/PKEHm35PBGIt838/tcxwntS8IgghAxDnPlQFAql/X9dzxAHL1JctP1ss5j3RdLzw2WY7jOLnvJ+vM7i8qW4aoLwiC3GdVy9F1PbIsK1dm0Xc559I6fd/P7bcsq7Cc7G+XnZMoKm+/JEV1yc5Jss7s9SG7xpKak20ltCWp2u6ivbLfLdJa1pYyndva69gco5+wLCtijO1c766/9Zh9WlH9juOkfkvZdViljl0R11dyk8E5jzjnkWVZueOT13qdWqNov/YS98uu14ygbtsmzsE+51xGVm/jM2oxG8i6Y25ubgpjKbLYpK7rqVm5YDAYpFzDZauFxQKd19fXnX5DFlkcTtd1fHx87F3m4+MjdF2XjiKvrq4qu0Df399z+8pSnGR1irb79etXvO/+/j6emcvKSLZpUXy5avxS9huActdeVtt6vUYQBIV1cs6PHv/Nhih0XZdqPTs7g+d5lWJdXYzh7YNhGNB1/aAYd131393dNRr3FQvKxOb7fmE4SXgqk8dvWyV+bHZpLxHCEx7K4XDYaCpZFhESFLP8usIKjRvqh4cH6erd6+vryp3VNpIrHLe5f1RVrS1Hr8jAVP1uMp6d3GRuXVkM/tjxzJ8/f8Z/B0GAyWQi1ZesV7RtHQtudnHtCfd5Eefn53uvjM2uT+j3+zt9X6R6MMbo1bP4DPnYtp1LiWlD/YvFApqmtSLuKxALcj3Py4X9OOe5NKyyVeLHZpf2EqlnQRDEmpfLZTywaIuxFqGzOq+Bxg21bduwbTvXuYtO9HfJqa5CMp4t2wTCa5CNwdcd38vGepNbWxbZ1I2maQjDMDfD2ZXlchmvvxD3xO+I67owTXOvNqy7fpFe1MZru8g7WDQJubi4KP38GOzaXrPZDJZl5Tx6YmBhmmYdMltJo4ZaGJSizr2OvMmzs7PSmVIYhq1bpADsNsNbrVawLOuko3zG2E6u/aTbfFfOz88LP6vaRt++fStNtXl/f9954Y1wpx9z5icWHjLGpK7JJtOV6kYsqqvTpXhI/T9+/ACA2PORnWT0+/1WuWmvrq4K749D7seq7NpeQRDg7OxMWta3b98A1DuwaBONGurVaoWbm5vCz+t4+pJY8i8rUzwdLRk/LTKQp57pixzOKm1RdDPW+ZCD4XBYaVClqioYY9L0u6odWtFgq6yNsnF40fEWpW7Ztl0Ycy8iGQqosn8XZOEh0UmJTusrEYYh+v0+HMdpxEhXqV88GCW7icGT8Gg18cQv4HMtyNXVVfx/Wd/39vZWmElxLHZtr7LBv7inmp5UHfpsgKo0ZqiFUby8vCw8po6nL6mqCs45+v1+bjTGGAPnPHVjisFC0ogYhnGUmf4ui8B6vV6hbsMwUrOt4XCYcwspilLr7EvEjmQLWLL55vP5HLZtp4ykaNMqi6PEbDjbDr1eD7qu52LCRbnMlmVJU9Y0Tdtr4ZJwHyavFZFStwvZ9hIPqkh2usC/s6A2xUePQRiGYIzBsqxGFo81Xf8ujEYjqadFdg0n+74ki8Xi5E9Uq8J8PodpmtI86slkAsdxGlL2iVgHdJJFeGVLwuukanpGcin/tvQbWcpPUT0i3Sa5FS2tF/WKTdST/Y4shWebPpE2lCy3DJluWWqFSGcQm+M4kWVZqTq2pUWUpR+JMst+j9hkKWXZlBKhqyxlqkr9st/u+740RUqmo6jcqulZ2WtFXHvZdihr22wZRedonxSnY7BvP8EYy/2ubDtFUf78ZbeqqWv7aj20/lOnZ8nuubJ0q2x6VtMpT2XtJbsXivqUU2iVaavSb+9KVq/yz04AnyP5xL8E0VpGoxFUVW3lQp5T0VQbdKmf6JJWoFt6SWt9ZPU2vuqbIPZhMBicJJ2krcjWUxAE8TUhQ010kuvrawDFi8G+Oo+Pj615bjNBEPVChproJGJhTNsWwJwK0zRLMyYIgvg6UIyaIIid6FI/0SWtQLf0ktb6oBg1QRAEQXSI3IyaIAiCIIhmSc6o/yj6gCAIgiCIZvjf//4X//1HyXEEQRAEQTTEf/7zHwDA/wNtuzkAuxh4cgAAAABJRU5ErkJggg==)
The rule that describes the number of T-shirts sold relates to the amount earned is.
In direct variation, the ratio remains the same. x/y = k.
The table shows two sequences of numbers.
![](data:image/png;base64,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)
The rule that describes the number of T-shirts sold relates to the amount earned is.
In direct variation, the ratio remains the same. x/y = k.
The coordinates for the origin in the coordinate plane are________?
Since the origin is a reference point it will always be (0, 0). At any point which is represented as (a, 0) where ‘a’ arbitrary is any number will lie on the x-axis but not on the y-axis. Similarly, any point (0, b) where b is an arbitrary number will lie on the y-axis but not the x-axis. Also, any point (a, b) where a is an arbitrary number, as well as b, is an arbitrary number will not lie on the x-axis as well as the y-axis. Hence the intersection of the axis will have to be (0, 0).
The coordinates for the origin in the coordinate plane are________?
Since the origin is a reference point it will always be (0, 0). At any point which is represented as (a, 0) where ‘a’ arbitrary is any number will lie on the x-axis but not on the y-axis. Similarly, any point (0, b) where b is an arbitrary number will lie on the y-axis but not the x-axis. Also, any point (a, b) where a is an arbitrary number, as well as b, is an arbitrary number will not lie on the x-axis as well as the y-axis. Hence the intersection of the axis will have to be (0, 0).
Choose the type of graph shows change over time.
A line graph is a graph of two variables that are in direct proportion.
Choose the type of graph shows change over time.
A line graph is a graph of two variables that are in direct proportion.
Solve the proportion
![3 over 12 space equals space blank over 4](data:image/png;base64,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)
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Solve the proportion
![3 over 12 space equals space blank over 4](data:image/png;base64,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)
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
The constant of proportionality is?
![](data:image/png;base64,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)
When comparing two or more ratios, the constant of proportionality is a fixed number that indicates the rate at which ratios increase or decrease.
The constant of proportionality is?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALAAAACpCAYAAACLbrcNAAAOtElEQVR4nO2dsW7iShfHjz/dp4iuVivGz5AiwilSZHiALZKtVrpXSKa+wk1KGiNqkLi6EtVCkQeIt0ixRinyDNhaRSivMV8RjdfYY3sAM54x5ydZ2gUzHk7+jI/Hc/62/v33X/b3338DgpiIxRhjlmU13Q8EkYYxlvz7D9GLSP1YloUxroHsYPu/hvqBILWAAkaMBgWMGA0KGDEaFDBiNCcT8Hg8Btu2C99fr9dgWRbEcXyqLhiPbdtgWRaMx2Op/QeDAViWBYPB4MQ90wccgTUmiiIghMB8Pq/cN45jmM1mQAhR0DN9QAFrzmg0giiKYLVale43mUyAUlp61msjKGADcF0XFotF6T6z2QweHh4U9UgftBTweDwGy7J2NlGubFmWcGQS5d+9Xg8Gg0GSe2dzxewxq0Y8lXz9+hWCICi8XhiPx0AIgW63W9hGHMe5mIpy68FgAL1eDwB+5+CWZZWO7L1eb6dd/nmObduFeXzVtVIV2gnYtm2Yz+fAGEu25XIJhJCjRfXjxw9wHCdpdzqdAgDAarUCz/N2jvnw8KDNBWa32wVCCEwmE+H78/kcRqNR4ee5wMMw3PmOnuflxAYAEAQBWJYFi8Ui2RcAhPvatg2dTmenXf46p9/vF+bx8/kc+v1+8Zevgn0ckdWN7/sMACq3KIqSzyyXS0YIKW0vDQCw5XIp3DfbDqU0dzyO67rMdd1DvqY0h8Q4/f2Wy6WwjTAMd16nlOa+CwCwMAxzn42iKBdD13WFceLHSb/u+z6jlFb2nR8n2wdRm1VkY3DSEZgQsvPLTG9hGOb2XywWhb/GL1++AMDH9NuhuK4LnU4n9/rnz59hNpsd3K4K7u7uAAByZ6HRaAS+7xd+brVaFaYXnU4HKKXw8+fPndcppbk48c+/v78nr83nc/j27ZvwuOl2+XG+f/++s8/3798L/yayaJVCbDYb+PTpk/A9/iW3223txx0Oh0Aprcz1msZ13Z0LtTiOIQiC5Mct4u3trfQ7dTqdvVKldPyjKIL7+/tcbm1ZFgRBsPO5b9++5QaJ2WwGX79+lT62CK0E3CRPT0/AGIPb21tthfzPP/9AFEXJWWgymRw9gh3LcrksPMvyawyA/Bmk7MywD1oJ2LZteHt7E77HR4k///zzpH2YTqfAGIMoiqTvgKkieyqWGcE+ffoEm82m8P04jg/+ARBCCv9eItLTgWXp4j5oJeCbm5vCq9XHx8fcL7YogDJ3rqqglB7dxingp+LBYACU0soR7PLycmfUTsNTkENP47e3t3vFmk8HrtfrytRHFq0EPBwOIYqi3HQNn+bKTub3+33wPG8nh9u3PIrPj6bb4AG+uro64Fuclru7OyCEwGw2K7yAStPpdMB1XXAcJ5frEkLAdd2DT+PT6VT49wL4+DtkfzR8OtBxHOGF4iH8Ub2LWhhjycQ4h89mZBkOh8n7nDAMYbvdSt+V6nQ6EIZhbg1BFEWN5pZl8B8uzyurmE6ncH19nfuOYRgenYOK/l4AxfHjfZf58cmQFHWKBILUB8b4g9VqBff39wfHIhtHrVIIpP0sFgtwXbe29rRLIZD2wi8aRTexDgVHYEQZopmkY8EcWBEY43rAHBhpFUkOjPZSpwdjXD9oLaUITCHqAa2lkFaBAkaMBgWMGA0K+EwpK7Q0CRTwmRJFUWH1i0kYJ2BRyT0iR7q0HgCScqAi0mX1ulpWGSXgXq+XK7l3XRc91iRYr9dACMmVAPm+n1vPy4Xe7/d39p3NZsK1v40iKlXWkaKycsbEpeS60XSM94lR0b5F5fEqycbRmBG4bBmeqOIV2WWz2cDnz58r9ysrMyoqj28SYwS82Wzg+vpa+N7l5SUAAKYRJdi2Dc/Pz5X7cd+HohVjNzc3WsXZGAFHUVRYkcxLV9KmG8guDw8PEARBZQ673W5LLVqrqpxVY8SCdp1+8abS7XaBMbYzCyGqidunTF4HjBmBkXpgqdkHx3G0c+LcFxTwmTIcDhMh39/fG3uWM0LAVb5oPPgXFxfK+tQWhsMhEELg8fERAD5y3CiKCvev8lpTjRECBvhwyinKz15fX4EQoq2Pg+6kBVk1o/P8/Aw3NzdK+iWFaHJYR0T+wBxKKfN9X3GP9kPnGEPGI5gQUnojYx8/37rJxtEYATP2EdisoTKltNAUWyeajHGZkTQA5GLK90+Lmou36YHCaAEz9ttpnW+630LmNB1jfis+u4kc7hn7Ldj01uQtZE42jlhWrwhdYnystVPTYFn9mfP29taqhyGigM8QnabBjgVTCEVgjOsBUwikVaCAEaNBASNGg95oCsEY1w96oykCL+LqAb3RkFaBAkaMBgWMGA0K+ExBbzTEaNAbrUG49VGb7umrYB9vtPV6nfOgEz1vuWmME3Cv14Pb21vwfb/prhjFPt5o4/EYHMeBMAyT/cIwBMdx9KtgFi0S1hVCSLIA2/d9IyoxOE3HWNYbjS9kFy10L/OnU0X2+EaNwJvNRvoB18gust5or6+vAADCOPPXdEoljBIwcjiy3mhVEELg5eWlhh7VAwr4TJD1RuP+c0Vl9bpdOKOAzwTujRYEQemsQrfbBUqpsOxoPB5DEAQquisNCvjMYBLeaE9PT4nzffZRDpTSJrpdCAr4TKnyRptOpzvTbYwxGA6HsNlstLoBggI+c7LeaGXEcVzq09wEKGBE+sLs8fERCCGF7u1NgAJGIAgCqbTA8zwYjUYKeiQPCvgM4OsaRFNjlmUBpXTnxkX2oo6voXBdV78bSaLbc7pCCBH6ewGA9reVm47xPt5oojjr4IvGGHqjNYYuMUZvNMRo0BsNMR7dbgcfA6YQisAY1wOmEEirQAEjRoPWUgrBGNcPWkspAnPgekBrKaRVoIARo0EBI0aDAm45q9Wq1RePKOCW07Zbx1mMErDI7kg7pxhNGAwGYFkWeJ4HURSBZVmVZn7p2reqdrWxnBItUdMRkSsMf6Zv08/vlUFljIueHw0FyyJd102WVpb1k1Kae64y/0zRI2vrJts/YwRchCkWU6piXPZgbxGU0mQAKBNwWbuu6+aEfSqy/ftDMCgbxdXVFXie13Q3tGG73QIAQKfTkdr/6elpr/Zl21WFUTkwUg2vGK47L+WFnNk8Oo5jmM1m8PDwUOvxZDFewC8vL9qZbTQJd9ZxHKd2EUdRBJ7nJeuJ05atjVUqi/IKkwCFFxDHoDrGvu8n9Wyy+amsfWq6bdVkj2n0CDwYDHIVtcgH3HmHpfzQjq3E4NXJv379Slx9LMuCwWBQU68PQKRqE+CjgCno0FcAKDW5LhuBufG1aBquqt06yfbPSAHzQOtS6i2DDjGuShHK3i9zeN936u4Ysv0zLoVYr9dwf38PYRhqZXFkAsd4mpU5vF9cXAAAwPv7+8HtH4pRAo7jGBzHafaq12BeXl4OXhdh2zb8+vVL+B4XLheyUkTDso7wHMyE28YiVMW46FTPrxnK0i6ZO3HZ+Kv+u2T7Z4yA+f36ok3VrcxDURljkTVU0e12SmlpXLOI9lF5LZLtE/pCKKKJGNu2Df1+H4bDodLjnhL0hTgj2vI42TJQwC1HJzf1U2D8ajSkmHNIC3EERowGBYwYDQoYMRr0RlMIxrh+0BtNETjXXg/ojYa0ChQwYjQoYMRoUMAtB73REKNBbzSNEHmjVfl9nSuy3mi8ULMqpr1eL7dfdhM9yvbkiNZY6ghfUJ2GL6ZWVVB4DCpjLOuNJqplOySmor/NqcgexxgBFyHrZdA0qvpYR4HlvjEtK/ism2y/cDVay9jXG03E5eUlAHykF1XtxHEMQRBAFEUHH+8YjMqBRfz8+ROtpVKcyhutiMlkApTS5kz/RMOyKfA6ORV+BMeiMsa8zu3QWrXlcillWVtmdnIqsnE0SsA8v0tvpqC6r4d4o3EIIVJVxk14Mxst4Cxc0LpXJDPWbIy5kGXEto8ooQFjxVYJmLHfpzHdHSp1iDFIeqPJpGRNzf60TsCMqZ3GORQdYixjXCI7EMimGXWT7b/xsxCIPEUVymnLLhmr2vV6DVEUwZcvX+ru4t60QsBBEMD19XXT3dCeIm80Qgj4vi/tszwajcB1XT2elyEalnWkKE0ghOBFXIp9vdFgz9vGTUydpcnG0RgBMyb28TLF7E9ljGW90dJTbaJN9BnXdRt9rFk2juiNpgj0RqsH9EY7I9AbDTEe9EZDjOUc0kIcgRGjQQEjRoPWUgrBGNcPWkspAqcq6wGtpZBWgQJGjAYFjBgNCrjloLUUYjRoLaUxtm2DZVnKSshN4hhrqcFgUNo2H9X3+cypMPZWMnqiFdPr9WCz2eSm7SzLgqurq+RB6XEcAyEEoijaWZzOfc6enp6EbQdBoM+UoGiNpe6kF1VDg4ur90FVjOuwlipqg68fbpLs8Y1MISaTCbiuCxcXF013RTvqsJYqwvM8WC6Xtbd7DMalEOv1GmazGTDGmrHz1Jy0tRRPFfaF186lfwT8OkO2bk4Vxo3Ao9EIfN9vuhva0u12gVIKjuMcdHE7Ho/B8zxYLBY7r2+3Wz1nM0R5ha5kPbuaLjDcB9UxlrWW4jFMb6L82fd9RilNvCXSm0pPjmwcjRIwIWRHrChg+WODpLUUj2l2X/6DEIm16kdSJ9k4GpNCjMdjsG374LzunGEfAxVEUVQ5X9vpdJJ9s1OVlFKYTqe5z4RhCEEQNHJNYoSA4zgGz/OEwUPkWS6XMJvNpPZ1XReen593XttsNsJ9+aDy/v5+XAcPwAgBv76+AsCHg0z67g+/qHAcBx/4IsExBZ5XV1eFLuxNzgYZIeC7u7vkNJjeeEDDMATGWKv8D05BkbWUiB8/fsDNzU3yfz7Krlar3L58gGkkvRMlxqaAF3F59rGWcl1XePFV9JQj3kZ6loLPSqiyt83GEQWsCJUxlrWWYuz3YxpAclpMNI2mkuzx0FpKEWgtVQ9oLXVGoLUUYjxoLYUYyzmkhTgCI0aDAkaMBgWMGA16oykEY1w/fwCcR7KPtIf//vsv+TfOQiBG8tdffwEAwP8BOc+QzGnom1oAAAAASUVORK5CYII=)
When comparing two or more ratios, the constant of proportionality is a fixed number that indicates the rate at which ratios increase or decrease.
This is a table with a proportional relationship between A and B. Find the missing value of B.
![](data:image/png;base64,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)
The proportion formula is used to depict if two ratios or fractions are equal. We can find the missing value by dividing the given values.
This is a table with a proportional relationship between A and B. Find the missing value of B.
![](data:image/png;base64,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)
The proportion formula is used to depict if two ratios or fractions are equal. We can find the missing value by dividing the given values.
Write an ordered pair.
Each point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate.
Write an ordered pair.
Each point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate.
The Y axis is _______?
The x and y axes are also called as abscissa and ordinate respectively. But, as they were not given in the options, we did not consider them and stick to the axes.
The Y axis is _______?
The x and y axes are also called as abscissa and ordinate respectively. But, as they were not given in the options, we did not consider them and stick to the axes.
The X axis is _______?
The x and y axes are also called as abscissa and ordinate respectively. But, as they were not given in the options, we did not consider them and stick to the axes.
The X axis is _______?
The x and y axes are also called as abscissa and ordinate respectively. But, as they were not given in the options, we did not consider them and stick to the axes.
If Justin ordered 5 ice cream bars for $12.25, Each ice cream bar cost is?
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
If Justin ordered 5 ice cream bars for $12.25, Each ice cream bar cost is?
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Determine the missing value in the table.
![](data:image/png;base64,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)
When comparing two or more ratios, the constant of proportionality is a fixed number that indicates the rate at which ratios increase or decrease.
Determine the missing value in the table.
![](data:image/png;base64,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)
When comparing two or more ratios, the constant of proportionality is a fixed number that indicates the rate at which ratios increase or decrease.
Write an equation for this relationship.
![](data:image/png;base64,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)
The ratio of the variables is constant for a direct variation.
Write an equation for this relationship.
![](data:image/png;base64,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)
The ratio of the variables is constant for a direct variation.
Find one of these is an example of a unit rate.
All rate problems can be solved by using the formula, D = R(T), where, D is distance, R is rate and T is time.
Find one of these is an example of a unit rate.
All rate problems can be solved by using the formula, D = R(T), where, D is distance, R is rate and T is time.
Write this rate as a unit rate
inch to
hour
All rate problems can be solved by using formula, D = R (T) , where D is distance, R is rate and T is time.
Write this rate as a unit rate
inch to
hour
All rate problems can be solved by using formula, D = R (T) , where D is distance, R is rate and T is time.
Is the given table a proportional relationship? If so, what is the constant?
![](data:image/png;base64,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)
We observe that all the ratio in the above tables are equal. So, these values are in a proportional relationship.
Is the given table a proportional relationship? If so, what is the constant?
![](data:image/png;base64,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)
We observe that all the ratio in the above tables are equal. So, these values are in a proportional relationship.