Since the car rents for $22.50 per day and you are charged $.15 per mile, how many miles could you drive and not spend over $50.00
(50 - 22.5) / 0.15 = ______
number of miles ---- m
.15m + 22.5 ≤ 50
.15m ≤ 27.5
m ≤ 183.333..
Suppose you drive 183 miles
cost = 183(.15) + 22.50 = 49.95 , still good
suppose you drive 184 miles
cost = 184(.15) + 22.5 =50.10, oops, we are over
so you can drive 183 miles and still be under $50
To find out how many miles you can drive without spending over $50.00, we need to calculate the maximum number of miles that can be driven within the budget.
Here's the step-by-step calculation:
1. Determine the rental cost per day: $22.50
2. Calculate the maximum number of days you can afford to rent the car by dividing the budget ($50) by the rental cost per day: $50 / $22.50 = 2.22 days. Since you can't rent a car for a fraction of a day, we'll consider it as a whole number, which means you can rent the car for a maximum of 2 days.
3. Subtract the rental cost for the number of days you'll be renting the car from the budget: $50 - ($22.50 * 2) = $50 - $45 = $5. This remaining budget will be used to cover the cost per mile.
4. Calculate the maximum number of miles you can drive within the remaining budget ($5) by dividing it by the cost per mile ($0.15): $5 / $0.15 = 33.33 miles. Again, since you can't drive a fraction of a mile, we'll consider it as a whole number. Therefore, you can drive a maximum of 33 miles without spending over $50.00.
In summary, you can drive up to 33 miles without exceeding the $50.00 budget based on the given rental cost and mileage charge.