Question
Gopi wants to rent a tent for an outdoor celebration. The Cost of tent is Rs.500 per hour, plus an additional Rs.100 set-up fee.
a) Draw a graph to show the relationship between the number of hours the tent is rented, x, and The total cost of the tent Y.
b) What is the equation of the line in slope- intercept form?
Hint:
First we find the total cost of the tent for every hour and make a table with x as the number of hours rented and y as the total cost of the tent. We use this data to plot a graph for the relationship.
The equation of line in slope- intercept form is y = mx + c, where m is slope and c is the y- intercept. We find m and c from the data in the table to get the required equation.
The correct answer is: y = 500x + 100
Step by step solution:
The cost of tent per hour = Rs.500
Set up fee = Rs.100
For the first hour, the total cost = Rs.(100 + 500) = Rs.600
In the second hour, the set up fee is still Rs.100, and the cost of tent = Rs(500*2) = Rs.1000
The total cost for 2 hours = Rs.(1000 + 100)= Rs.1100
Continuing this way,
The total cost for 3 hours = Rs.(500 × 3 + 100) = Rs.1600
The total cost for 4 hours = Rs.(500 × 4 + 100) = Rs.2100
The total cost for 4 hours = Rs.(500 × 5 + 100) = Rs.2600
Now, taking time (in hours) to be in x-axis and the total cost (in Rs.) to be y- axis, we draw the following table.
![](data:image/png;base64,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)
Now, we plot these points on the graph
![](data:image/png;base64,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)
The line intercept form of a line is y = mx + c, where is the slope of the line and is the y-intercept of the line.
First, we find the slope of the equation.
For two points
and
satisfying the equation, the slope is given by
![straight m equals fraction numerator straight y subscript 2 minus straight y subscript 1 over denominator straight x subscript 2 minus straight x subscript 1 end fraction](data:image/png;base64,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)
Taking any two points from the table and denoting them as
, we have
m = ![fraction numerator 1100 space minus space 600 over denominator 2 space minus space 1 end fraction](data:image/png;base64,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)
m =
= 500
Next, for finding the y-intercept, we input any value from the table in the equation y = mx + c
We choose the first point (1,600), and using it in the above equation, we have
600 = m × 1 + c
Putting the value of m in the above relation, we have
600 = 500 × 1 + c
Simplifying, we have
600 = 500 + c
Thus, we get
c = 600 - 500 = 100
So, the y-intercept c = 100,
Using the value of m and c, we get the required equation,
y = 500x + 100
The line intercept form of a line is y = mx + c, where is the slope of the line and is the y-intercept of the line.
First, we find the slope of the equation.
For two points
Taking any two points from the table and denoting them as
Next, for finding the y-intercept, we input any value from the table in the equation y = mx + c
We choose the first point (1,600), and using it in the above equation, we have
Putting the value of m in the above relation, we have
Simplifying, we have
Thus, we get
So, the y-intercept c = 100,
Using the value of m and c, we get the required equation,
Instead of using these particular points to find the slope and the y-intercept, we can use any other points from the table; we will get the same equation at the end. We can also verify this equation by inserting the points from the table and checking if the equation is satisfied. Finally, we can find the line in any other forms of a straight line.
Related Questions to study
. A triangle has a height of 2x+6 and a base length of x+4. What is the area of the triangle?
. A triangle has a height of 2x+6 and a base length of x+4. What is the area of the triangle?
A Submarine descends to
of its maximum depth. Then it descends another
of
its maximum depth. If it now at 650 feet below sea level , What is its maximum depth
A Submarine descends to
of its maximum depth. Then it descends another
of
its maximum depth. If it now at 650 feet below sea level , What is its maximum depth
Find the area of the shaded region.
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)
Find the area of the shaded region.
![](data:image/png;base64,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)
A rectangular park is 6𝑥 + 2 𝑓𝑡 long and 3𝑥 + 7 𝑓𝑡 wide. In the middle of the park is a square turtle pond that is 8 𝑓𝑡 wide. What expression represents the area of the park not occupied by the turtle pond?
![](data:image/png;base64,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)
A rectangular park is 6𝑥 + 2 𝑓𝑡 long and 3𝑥 + 7 𝑓𝑡 wide. In the middle of the park is a square turtle pond that is 8 𝑓𝑡 wide. What expression represents the area of the park not occupied by the turtle pond?
![](data:image/png;base64,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)
Graph the line with equation ![straight Y equals x over 3 minus 5](data:image/png;base64,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)
Graph the line with equation ![straight Y equals x over 3 minus 5](data:image/png;base64,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)
A builder buys 8.2 square feet of sheet metal. She used 2.1 square feet so far and
has R s 183 worth of sheet metal remaining. Write and solve an equation to find out
How much sheet metal costs per square foot ?
A builder buys 8.2 square feet of sheet metal. She used 2.1 square feet so far and
has R s 183 worth of sheet metal remaining. Write and solve an equation to find out
How much sheet metal costs per square foot ?
Find distributive property to find the product.
(3𝑥 − 4) (2𝑥 + 5)
Find distributive property to find the product.
(3𝑥 − 4) (2𝑥 + 5)
Find the value of 𝑚 to make a true statement. 𝑚𝑥2 − 36 = (3𝑥 + 6)(3𝑥 − 6)
Find the value of 𝑚 to make a true statement. 𝑚𝑥2 − 36 = (3𝑥 + 6)(3𝑥 − 6)
Graph the equation ![Y equals negative 4 x plus 3](data:image/png;base64,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)
Graph the equation ![Y equals negative 4 x plus 3](data:image/png;base64,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)
What is the relationship between the sign of the binomial and the sign of the second term in the product?
What is the relationship between the sign of the binomial and the sign of the second term in the product?
Find the product. (2𝑥 − 1)2
This question can be easily solved by using the formula
(a - b)2 = a2 - 2ab + b2
Find the product. (2𝑥 − 1)2
This question can be easily solved by using the formula
(a - b)2 = a2 - 2ab + b2
The coefficient of 𝑥 in the product (𝑥 − 3) (𝑥 − 5) is
The coefficient of 𝑥 in the product (𝑥 − 3) (𝑥 − 5) is
Find the product. (𝑥 + 9)(𝑥 + 9)
This question can be easily solved by using the formula
(a + b)2 = a2 + 2ab + b2
Find the product. (𝑥 + 9)(𝑥 + 9)
This question can be easily solved by using the formula
(a + b)2 = a2 + 2ab + b2