Question

Jackie is renting a car for a day trip. The car rental company charges Jackie $0.55 for every mile driven. After inspecting Jackie's driving record and her age, the car rental company charges her an additional fee of $65.00.

a. Write an equation that demonstrates the relationship between the number of miles Jackie drives, m, and the total cost of her car rental, c.

b. Jackie is researching different locations to visit. Location A is 82 miles round trip from the car rental company. What is her total cost of driving to and from location A? Show your work.

c. When Jackie returns the car, she pays $98.00. How many miles did she drive? Show your work.

Answer 1

Explanation:

The rate that the company charges Jackie is $0.55 per mile

And it charges an additional fee of $65.00

That means for:

a. c = 0.55m +65

• c: total cost
• m: number of miles driven

b. Since total cost = 0.55m + 65 and she drives 82 miles

total cost = 0.55*82 + 65 = $110.10

c. Since the total cost is $98 dollars, thus we get the equation

98 = 0.55m + 65

m = 60 miles

Thus she drove 60 miles