Question

A worker must drive her car as part of her job. She receives money from her company to pay for the gas she uses. The table shows a proportional relationship between "y", the amount of money that the worker receives, and "x", the number of work-related miles driven.

Part A. Explain how to compute the amount of money the worker receives for any number of work-related miles. Based on your explanation, write an equation that can be used to determine the total amount of money, "y", the worker receives for driving, "x", work related miles.

Part B. On Monday, the worker drove a total of 134 work-related and personal miles. She received $32.13 for the work-related miles she drove on Monday. What percent of her total miles driven were work-related on Monday?

Answer 1

Part A.) 25/12.75 = 35/17.85 and equal to all of the other x / y values.

Part B.) 0.47%

Explanation:

Part a.)
`25/12.75 = 35 /17.85` applies to other x/y in the picture below

≅ 1.96 (not exactly)

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Part B.) x/32.13; x =work-related miles

x/32.13 = 25/12.75

x = 63

63/134 = 0.470149254 ≅ 0.47 (rounded down)

0.47% work-related on Monday

Feel free to tell me if the answer is wrong, or if you need any more information.