Question

Question 10 (01.04 MC): Penelope wants to go on a kayak trip. She has a budget of $75. To rent a kayak, there is a fixed $35 fee and an hourly fee of $4. Write an inequality that would be used to solve for the maximum number of hours Penelope can rent the kayak on her budget.

A. 35x + 4 ≤ 75

B. 35x + 4 ≥ 75

C. 35 + 4x ≤ 75

D. 35 + 4x ≥ 75

Answer 1

The correct inequality to represent this scenario is: C. 35 + 4x ≤ 75

Explanation: Penelope has a fixed fee of $35 to rent the kayak and an hourly fee of $4. To find the maximum number of hours she can rent the kayak, we need to find the value of x that makes the inequality 35 + 4x ≤ 75 true. In this inequality, 35 is the fixed fee and 4x represents the total cost of renting the kayak for x hours. To solve for x, we need to subtract 35 from both sides of the inequality to get 4x ≤ 40. Then, we need to divide both sides by 4 to get x ≤ 10. This means that Penelope can rent the kayak for a maximum of 10 hours.