A car rental agency charges a flat daily rate of 45 plus 0.20 per mile driven. If a custom… — GRE General Test

A car rental agency charges a flat daily rate of $45 plus$ 0.20 per mile driven. If a customer rented a car for one day and the total rental cost before taxes was $75, how many miles did the customer drive?

150Answer
B
225
C
375
D
600
E
60

Answer

150 miles

Subtracting the

45 fixed fee from the total charge of

75 leaves

30 attributable to mileage. Dividing

30 by the variable rate of $0.20 per mile gives 150 miles.

Step-by-Step Solution

Set up the linear equation representing total cost

45 + 0.20m = 75

, where

m

represents the number of miles driven.

The total cost consists of a fixed fee plus the variable per-mile charge.

Isolate the variable term by subtracting the fixed fee from both sides

0.20m = 75 - 45 \implies 0.20m = 30

This determines the portion of the total cost accrued strictly from mileage.

Solve for

m

by dividing by the per-mile rate

m = \frac{30}{0.20} = 150

Dividing total mileage cost by the cost per mile gives the total miles driven.

Key Concept

Linear Modeling and Single-Variable Equations

Estimated Time:45s

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