Question

Justine is renting a car that costs $32 a day with free unlimited mileage. Since she is under the age of 25, it costs her an additional $10 up front to rent the car. Justine does not want to pay more than $200 on car rental costs. Which inequality shown below represents the situation?

a) $32x + $10 ≤ $200
b) $32x + $10 ≥ $200
c) $32x + $10 = $200
d) $32x - $10 ≤ $200

Answer 1

The correct inequality for Justine's car rental situation, with a daily cost and an additional fee, without exceeding her budget, is $32x + $10 ≤ $200.

Step-by-step explanation:

The inequality that represents the situation where Justine is renting a car that costs $32 a day with free unlimited mileage and an additional $10 upfront fee, under the condition that she does not want to spend more than $200, is $32x + $10 ≤ $200.

Here, x represents the number of days she can rent the car. This inequality takes into account the daily cost of the rental ($32 per day) and the additional fee for being under 25 years of age ($10 upfront), stating that the total cost of renting the car for x days plus the upfront fee should be less than or equal to $200.