Stan’s Car Rental charges $35 per day plus $0.25 per mile. Denise wants to rent one of Stan’s cars, keeping the total cost of the rental to no more than $55.
What is the greatest number of miles Denise can drive the car to stay within her budget?
A. 75 miles
B. 80 miles
C. 90 miles
D. 100 miles
Let's start by setting up an equation to represent the total cost of the rental:
Total Cost = $35 (daily fee) + $0.25 (cost per mile) * Number of Miles Driven
We want to find the maximum number of miles Denise can drive while keeping the total cost at or below $55. So we can set up an inequality:
35 + 0.25x ≤ 55
Subtracting 35 from both sides gives:
0.25x ≤ 20
Dividing both sides by 0.25 gives:
x ≤ 80
So the maximum number of miles Denise can drive while staying within her budget is 80 miles. Therefore, the answer is B. 80 miles.
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To determine the greatest number of miles Denise can drive the car while staying within her budget, we need to set up an equation and solve for the number of miles.
Let's assume the number of miles Denise can drive is "x".
The total cost of the rental is made up of two components:
1. The base charge, which is $35 per day.
2. The mileage charge, which is $0.25 per mile.
The equation can be written as:
Total cost = Base charge + Mileage charge
Given that the total cost should be no more than $55, we can set up the equation as:
55 ≤ 35 + 0.25x
To solve this equation, we need to isolate the variable "x".
Subtract 35 from both sides of the inequality:
55 - 35 ≤ 0.25x
Simplify:
20 ≤ 0.25x
To isolate "x," divide both sides of the inequality by 0.25:
(20 / 0.25) ≤ (0.25x / 0.25)
Simplify:
80 ≤ x
Therefore, Denise can drive a maximum of 80 miles to stay within her budget.
The correct answer is B. 80 miles.