A rental car company charges a flat fee of 30 dollars plus 0.20 dollars per mile driven. I… — ACT

A rental car company charges a flat fee of $30$ dollars plus $0.20$ dollars per mile driven. If a customer's total rental bill is $56$ dollars, how many miles did they drive?

Answer: 130 miles

Answer

130 miles

Subtracting the flat fee of

30

dollars from the total bill of

56

dollars leaves

26

dollars representing the cost of the miles driven. Dividing this remaining cost of

26

dollars by the rate of

0.20

dollars per mile yields a total of

130

miles driven.

Step-by-Step Solution

Set up a linear equation for the total cost

30 + 0.20m = 56

The total cost of

56

dollars is the sum of the flat fee of

30

dollars and the variable cost of

0.20

dollars per mile multiplied by the number of miles

m

Subtract the flat fee from both sides of the equation

0.20m = 26

Isolating the variable term shows that the total amount spent on the mileage portion of the trip is

26

dollars.

Divide by the rate per mile to find the total miles

m = 130

Dividing the mileage portion of the cost by the cost per mile gives the total distance driven.

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Translating and Solving Linear Word Problems

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