
Find whether Mrs. Johnson can afford to rent a car or not.

Answer to Problem 49PPS
No she cannot afford to rent the car.
Explanation of Solution
Given:
Mrs. Johnson is renting a car for vacation and plans to drive a total of 800 miles. A rental car company charges $153 for the week including 700 miles and $0.23 for each additional mile. If Mrs. Johnson has only $160 to spend on the rental car, can she afford to rent a car?
Concept Used:
Let the total cost for 800 miles for a rental car is y.
A rental car company charges $153 for the week including 700 miles and $0.23 for each additional mile
Calculation:
A rental car company charges $153 for the week including 700 miles and $0.23 for each additional mile
$153 is the rental charge including free miles. Since she must drive 800 miles, subtract away the 700 free miles to get the number of miles that will be charged. | |
The total charges included the $153 plus 100 charged miles at $0.23 per miles. | |
The total charges equals to $176. Therefore she will not be able to afford the rental with only $160. |
Total cost for 800 miles with the rental car is $176.
No she cannot afford to rent the car.
Thus, no she cannot afford to rent the car.
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