Question

A rental car company charges $37.93 per day to rent a car and $0.11 for every mile driven. taylor wants to rent a car, knowing that: she plans to drive 50 miles. she has at most $300 to spend. which inequality can be used to determine d d, the maximum number of days taylor can afford to rent for while staying within her budget?

Answer 1

300 ≥ 5.5 + 37.95x

Explanation:

when she plans to drive 50 miles that means she has to pay
50 * 0.11 = 5.5
$5.5 to drive the 50 miles.
Additional to the $5.5 she has to pay the daily cost of $37.93 per day.

The total cost of renting the car therefore is
5.5 + 37.95x
with x being the amount of days.
To stay within her budget this cost can't be higher than 300
Therefore
300 greater or equal to 5.5 + 37.95x

according to this inequality, x can be no higher than 7. when x = 7 the total cost is $ 271.15
Taylor can't rent the car up to 7 days while staying within her budget.