Question

follow the steps below and answer the questions.
a car rental agency charges $10 to reserve a car and $25 per day. you have $160 to spend on the rental car.
what is the maximum number of days you can rent a car?

• an unlimited number of days
• five days
• seven days
• six days

we found 6 ≥ d is the solution of the inequality.
in the context of the original problem, what is the maximum number of days you can rent a car? select
a. five days
b. six days
c. seven days
d. an unlimited number of days

Explanation:

Step1: Set up the inequality

Let \(d\) be the number of days. The cost is \(10 + 25d\), and we have \(160\) to spend. So the inequality is \(10+25d\leq160\).

Step2: Solve the inequality for \(d\)

Subtract \(10\) from both sides: \(25d\leq160 - 10\), so \(25d\leq150\).
Divide both sides by \(25\): \(d\leq\frac{150}{25}\), which gives \(d\leq6\).

Answer:

B. Six days