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 have c = 10 + 25d.
we have at most $160 to spend.
what inequality do we get when we consider this information?
select
a. 160 < 10 + 25d
b. 160 ≤ 10 + 25d
c. 160 > 10 + 25d
d. 160 ≥ 10 + 25d

Explanation:

Step1: Set up the inequality

The cost \(c = 10+25d\) and we have at most \(160\) to spend. So \(10 + 25d\leq160\)

Step2: Solve the inequality for \(d\)

Subtract \(10\) from both sides: \(25d\leq160 - 10\), so \(25d\leq150\)
Divide both sides by \(25\): \(d\leq\frac{150}{25}=6\)

Answer:

B. \(160\geq10 + 25d\) (for the inequality part); Six days (for the number of days part)