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 150 ≥ 25d. as we solve for d, what is our result?
select ▼
a. 6 ≤ d
b. 125 ≥ d
c. 3750 ≥ d
d. 6 ≥ d

Explanation:

Step1: Set up the inequality

The total cost for renting a car is the reservation fee plus the cost per day. The reservation fee is $10$, and the cost per day is $25$. You have $160$ to spend. So the inequality is $10 + 25d\leq160$.

Step2: Solve the inequality for \(d\)

Subtract $10$ from both sides of the inequality:
$$10 + 25d-10\leq160 - 10$$
$$25d\leq150$$
Divide both sides by $25$:
$$\frac{25d}{25}\leq\frac{150}{25}$$
$$d\leq6$$

Answer:

D. \(6\geq d\)