Ronald wants to rent a car to take a trip and has a budget of $60. There is a fixed rental fee of $25 and a daily fee of $5. Write an inequality that would be used to solve for the maximum number of days for which Ronald can rent the car on his budget.

Question

a 25 + 5x ≤ 60
b 25 + 5x ≥ 60
c 25x + 5 ≤ 60
d 25x + 5 ≥ 60

Answer 1

To determine the maximum number of days Ronald can rent the car within his budget, let's break down the costs:

• Fixed rental fee = $25
• Daily fee = $5 per day
• Total budget = $60

Let \( x \) represent the number of days Ronald rents the car. The total cost for renting the car can be expressed as:

\[ \text{Total Cost} = \text{Fixed Fee} + \text{Daily Fee} \times \text{Number of Days} = 25 + 5x \]

Ronald wants to ensure that this total cost does not exceed his budget of $60. Therefore, we need to set up the inequality:

\[ 25 + 5x \leq 60 \]

This means he can rent the car for a number of days such that the total cost is less than or equal to his budget.

Thus, the correct inequality to solve for the maximum number of days Ronald can rent the car is:

a) \( 25 + 5x \leq 60 \)