Mathematics
Grade5
Easy
Question
Find the constant of proportionality.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKgAAAB3CAYAAACXIwtOAAAKXklEQVR4nO2dv27iTBfGn/m0V7FaRRHja0gRwRYUMRewRUiVKpJdR9CkpDFKDRIVVaDIBcQpUqxRir2G2EIoym34K94dr238Fxz7QM5PspTAeDwcHmbOzPgcC9/3fTAMUf7XdAMYJgsWKEMaFihDGhYoQ5pv6g8hRJPtYJiA8Lz9W9obTDmEEGy/Coh3lDzEM6RhgTKkYYEypGGBMqRhgTKk2VugQggsl8vU93u9HkzT3PcyR4umaRBCYDweFypvmiaEEF/GptyDNozrupBSYjab5Zb1PA/T6RRSyhpaRgMWKAFGoxFc180ciQDg/v4euq5D07SaWtY8LFAiGIaB+XyeWWY6neLu7q6mFtGgMYF6ngchRORI8sPG43FqjxH3f1erFYQQ8DwPvV4vqNfzvMg56qDUE11dXcG27Uhbw4zHY0gp0W63U+soalPTNNHr9QD884Hz7BG2pxAiOF+haVqqH531HebRiECVsR3Hge/7wTEcDrc++C5cXFyg2+0G9bZaLQD/GdGyrOD10WhEZrLRbrchpcT9/X3i+7PZDKPRKPX8sja1bRtCCMzn86AsgMSymqah1WpF6lWvK25ublL96Nlshpubm/QPn4X/l9CfpQCQexiGsXWO4zhbdbmu6wPwF4tF8JplWb6UMvXa4bKO4yReL1y367o7fc489rGf+gyLxSKxHvW5FLqu72VTwzASbaGuE37dsixf1/XctqvrxNuQVGcW8c9fSQ+6WCwiv67woet6pOxyuUwdqlqtFnRdx+/fv/dqz+3tbWLdAPD4+LhX3Z/J5eUlAGxNlkajESzLSj1vF5vquh7YRKHO//j4CF6bzWa4vr5OvG64XnWdh4eHSJmHhwcYhrF1raLUPsRvNptMf6TVaqX6YfviOA6Gw2Hu2m2TGIYRmQh5ngfbtvHr16/Uc6q26fv7e/C367ro9/tbvq0QArZtR867vr7GdDqNvDadTnF1dVX42nG+1Cy+3W7D9/2I0akJ9fb2Fq7rYrVaAfhvaWmfHqgKskbIyWQSlIuPAFk9e1FqF+jJyQne3t5S3/c879O/DOXwW5aFfr//qdcqS3yoLNIDfaZNpZTYbDaFy4eXy+bz+e6To7/ULtCzs7NIDxFGDWfhL+Tk5ASu626VraLnOz8/37uOz0ANlaZpQtf13B6orE3LcHFxUWiXS6GWy1arVa5rUoTaBdpqtWAYBjqdzpZfJKWEYRiRL0QNG+HloPF4jH6/X2rLzzTNrSWl0Wi0NYmjwOXlJaSUmE6nqROUMGVtWobJZALXdROXn4QQWz8KtVzW6XQSJ2JlacQHnUwmWCwWkFJGnG7HcSI+jcL3fUyn06Dcy8tL6fCKyWSytZDdarXw9PRU1ceqFDU0qh9oHmVtWgZl6/gkyXXdROGrthf5ceUh/q49cUzNnrD9/rFcLtHv93eyR9yOX2oWz9TDfD6HYRiV1PUtvwjDFEdNyhzHqaQ+7kGZSnl8fNx77TMM+6AVwfarBvZBmYMi4oNy+pv9YPtVD6e+qQge4quBU98wBwULlCENC5QhDQv0iMkKZDsUWKBHjOu6ODk5aboZe3EQAi0SSsv8R/iOLQBB5EAa4bBjkil10qLpKKAiAsMRiSp6MClys0ko2C/JXr6fHJmp7GhZVuR1AKlRnHUQtyNpgUoptwzo++VDWeuAgv2SwpHLlk0LH66LuB3JDvGr1Qqu6yaGDKi7timHEDfB29sbTk9Pc8tlhYGkhQ83BVmBvr+/Q0qZGjJwcXGB9Xpdc6too2kaXl5ecsupuPe0O4663e6nhX6XhaxA82K9T09PyRiRCnd3d7BtOzd9kPrxp5EXJVonZG9Y5t6xPCruPzyLdxxnq6csE0bcNGR7UGZ3/L9JFSzLQqfTIZmgoigs0CNmMBhEElQcoktEVqCnp6eZftB6vW40HcwhMRgMIqseackwFHn+f52QFej5+XmmEZ+fn/Hz588aW3TYhAV3dnYGAKk96svLC7rdbi3tyiVtgZQCSNjp8P3tfJkUoNaeOIjtMEkpG8mjmkfcjqQFqhK6hnc10rbzmqZp+2XtriFh+zJrGzmpU6iLgxKo7/8zZPigtMWpoGA/9YOOH2k/ZiXI8NHUFqcibkcOO64ISvbbJ/VM03DY8Rdgs9kczcO+WKBHCpVlon3hIb4i2H7VwEM8c1CwQBnSsEAZ0nBupgph+1UP52aqCJ4kVQPnZmIOChYoQxoWKEMaFugRw7mZGNJwbqYaMU3zoIO/6qJMbqbVarWV9yrpeZ9NQl6gyogc3pHParWClHLr8dmWZW3Fyo/HY3Q6HTiOE5RzHAedTodWJ5B2oygFFouFL6UM/gfBO+kVFOxXNDeTulE5yZbqpuemiF+bdA96eXlJJsPFIVA0N9OfP38AJD+oVr1GZagnLVCmHEVzM+UhpcTr62sFLdofFugRUTQ3048fPwCkhx1TutmZBXpEqNxMtm1nzsrb7TZ0XU8MCxmPx7Btu47mFoIFeoT4BXIzPT09wTCMrWUmANB1vYlmJ5M2e6IIeBa/E5ZllQrXllI2Zue4HbkH/QLEczNl4XkeXNcN/NSmYYF+EYpOfKp+3vu+sEC/CLZtF9qXHw6HGI1GNbSoGCzQI0FtCSctHQkhoOt6ZGE+PmlSe/iGYSQu4DdGmnNKgbRcQ8jJOdQEFOxXJjeTlJJcXibf59xMnwYl+3FuJoY0nJuJIQ+l7cp94CG+Ith+1cBDPHNQsEAZ0nDqmwph+1UPp76pCPZBq4FT3zAHBQuUIQ0LlCENC/QIWC6XRztBY4EeAce0tRmHvEB7vV4kZuZYtvCqQKUDGg6HcF0XQojcZGHh2KO8eimkxCEtUE3T0O12I2lcNE072uGsDL1eD8/PzxHb+L6P4XCYKCYlusVikVuv53mROheLRXMpcdLuw6MMiN0L6vv12i/rwbFJ6LoePCA2K7VNVr2GYWw9kPYziLftW4Z2yaLrOjabTdPNaIz393cAQKvVKlT+6empVP1F660D0kM8k4yKuKzaL1SBcnE/1vM8TKdT3N3dVXq9QqR1rZQBkfCEMHXbT9f1neyQl71OZb5TWQWTniv/mcTbdnACtSwrkpKRCk3YTyVkAFDYPyyaXjFcd53Er3dQQ7zneRgOh5jP5003hQSDwSCYaat8TPsuw6nozvV6HaTPEULANM2KWl2SNOVSBEAwG6UGFfsByExim9WDquE9yW3Iq7cq4m07GIFKKWtZ5tgVKvbLG8Kz3s/K0Fx2aWtX4m07iCG+1+tB07TSyyVfkX1yKmVlaP7+/TsA4OPjY+f6d4H8Oqhpmnh7e+NU4AV5fX3deV9e0zSs1+vE95QwlVBrI61rpYBhGCTblUSd7UwbitXMO2vpqchOUtzPV75pHf5/vG1kBaqMknVQWgut235JqWvSlt/UmmnaEadJW8fbw3HxFdGU/TRNw83NDQaDQe3X/gw4Lv7IOIbHHWbBAj0CqGRD/gzIz+KZbI7dLeMelCENC5QhDQuUIQ3nZqoQtl/1BAI9dmebOUx4iGdIwwJlSPN/MNQw50wa4xYAAAAASUVORK5CYII=)
- $3
- $4
- $2
- $9
Hint:
Constant of proportionality is the constant value of the ratio between two proportional quantities.
The correct answer is: $9
Here, we have to find the constant of proportionality.
K = ![y over x](data:image/png;base64,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)
![K equals 9 over 1 equals 18 over 2 equals 27 over 3 equals 36 over 4](data:image/png;base64,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)
K= 9
Constant of proportionality is 9.
Hence, the correct option is (a).
When comparing two or more ratios, the constant of proportionality is a fixed number that indicates the rate at which ratios increase or decrease.