Question

Jamel plans to take a cruise that leaves out of New Orleans and needs to rent a car to see the sights as well as travel to and from the airport. The cost of renting a car is $50 plus $0.75 per mile for every mile over 40 miles driven. If Jamel's total cost for renting the car is $122.75, use the composition of functions to find how many miles Jamel drove the car on his vacation?

Answer 1

The number of miles that Jamel drove the car on his vacation was 97 miles.

Let the number of miles that he traveled be represented by x.

Based in the information given, the equation to solve the question will be:

50 + (0.75 × x) = 122.75

50 + 0.75x = 122.75

Collect like terms

0.75x = 122.75 - 50

0.75x = 72.75

Divide both side by 0.75

0.75x/0.75 = 72.75/0.75

x = 97

Therefore, Jamel drove the car for 97 miles.

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