Question

a rental car company charges $46.75 per day to rent a car and $0.13 for every mile driven.
ximena wants to rent a car, knowing that:

• she plans to drive 100 miles.
• she has at most $200 to spend.

write and solve an inequality which can be used to determine $d$, the number of days ximena can afford to rent while staying within her budget.

answer
inequality:
$d$

Explanation:

Step1: Calculate mileage cost

The cost for 100 miles is $0.13 \times 100 = 13$

Step2: Set up total cost inequality

Total cost = daily cost + mileage cost. Total cost ≤ budget:
$46.75d + 13 \leq 200$

Step3: Isolate the daily cost term

Subtract 13 from both sides:
$46.75d \leq 200 - 13$
$46.75d \leq 187$

Step4: Solve for d

Divide both sides by 46.75:
$d \leq \frac{187}{46.75}$
$d \leq 4$

Answer:

Inequality: $46.75d + 13 \leq 200$
$d \leq 4$