Question

Jim needs to rent a car. A rental company charges $21 per day to rent a car plus $0.80 per mile driven. How many miles can he drive in a day if he wants to spent AT MOST $82. Write an inequality. Show work Or explain how to solve it and then give a solution as an inequality.

Answer 1

76.25.....................

Answer 2

Inequality: .80x +21 ≤ 82

Answer: 76.25 miles in total

Explanation:

Hi,

An inequality to represent this is .80x +21 ≤ 82

(.80 is the cost per mile and x is the number of miles driven. 21 is the fee that must be paid no matter what and the 82 is the total cost they can pay. We use the ≤ sign to say they can spend less than or equal to 82. The phrase "at most" means we can use the ≤ sign).

Now we solve...

.80x + 21 ≤ 82

Subtract 21 on both sides...

.80x ≤ 61

Now, divide by .80 on both sides...

x ≤ 76.25

He can drive up to 76.25 miles in total

Hope this helps :)