Question

The cost of renting a car is $39 plus $0.75 per mile.

a. Write the function that would model the scenario.
b. What would the cost be for a 200-mile trip?

Answer 1

Answers:

• a) The function is y = 0.75x+39
• b) The cost is $189

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Step-by-step explanation:

Part a)

• x = number of miles driven
• y = total cost

If we ignore the $39 rental fee, then it costs 0.75x dollars to drive x miles. However, we cannot ignore that fee which means we tack it on to get 0.75x+39 to represent the total cost.

Therefore, y = 0.75x+39 is the cost function

If your teacher insists you use other variables (instead of x and y), then be sure to follow those instructions.

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Part b)

Plug in x = 200 to find y

y = 0.75x+39

y = 0.75*200+39

y = 189 dollars is the total cost