119k views
2 votes
A rental car company charges $63.25 per day to rent a car and $0.07 for every mile driven. Ella wants to rent a car, knowing that: She plans to drive 50 miles. She has at most $130 to spend. Write and solve an inequality which can be used to determine x, the number of days Ella can afford to rent while staying within her budget.

1 Answer

7 votes

Final answer:

To determine the number of days Ella can afford to rent while staying within her budget, we need to set up an inequality and solve it.

Step-by-step explanation:

To determine the number of days Ella can afford to rent while staying within her budget, we need to set up an inequality.

Let x be the number of days Ella can rent the car.

The cost of renting the car for x days is 63.25x dollars.

Since Ella also plans to drive 50 miles, she will be charged an additional 0.07 * 50 = 3.5 dollars for the mileage.

Therefore, the total cost of renting the car for x days with the mileage charge is 63.25x + 3.5 dollars.

Ella wants to spend at most 130 dollars, so we can set up the inequality:

63.25x + 3.5 ≤ 130

Solving this inequality will give us the maximum number of days Ella can afford to rent the car.

User Kyle G
by
7.9k points