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.