Final answer:
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.