Question

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 and 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. a) 63.25x + 0.07 * 50 ≤ 130 b) 63.25 + 0.07x ≤ 130 c) 63.25 * 50 + 0.07x ≤ 130 d) 63.25x + 0.07 * 130 ≤ 50

Answer 1

The correct inequality to determine the number of days Ella can rent the car within her budget of $130 is option a) 63.25x + 0.07 × 50 ≤ 130. By solving the inequality, we find that Ella can afford to rent the car for at most 2 days.

Step-by-step explanation:

To determine the number of days Ella can afford to rent a car for while staying within her budget, we use the provided inequality options. Given that Ella can spend at most $130, drives 50 miles overall, and is charged $63.25 per day for the car plus $0.07 for every mile driven, the correct inequality to calculate the number of days (x) Ella can rent the car is:

63.25x + 0.07 × 50 ≤ 130

This represents the daily charge multiplied by the number of days (63.25x), plus the total mileage charge ($0.07 × 50), being less than or equal to Ella's budget of $130. To solve the inequality, we first calculate the total cost of miles driven:

0.07 × 50 = $3.50

Now, we can rewrite the inequality and solve for x:

63.25x + 3.50 ≤ 130

To isolate x, we subtract 3.50 from both sides:

63.25x ≤ 126.50

Divide both sides by 63.25 to find x:

x ≤ 2

Thus, Ella can afford to rent the car for at most 2 days while staying within her budget of $130.