a car rents for $40 per day plus 21cent per mile. You are on a daily budget of $82. What mileage will allow you to stay within your budget?
The solution is
$82 - 40 = $42
42/0.21 = ? miles per day
200 Miles as long as the final stop is where you need to end up for the day.
(However, you should really tip the driver 20%, so at least a $12.00 gratuity. That would leave you with $30.00, which would be just over 142 miles to travel.)
Daniel, in this country most people drive themselves and don't hire a driver.
To solve this problem, we need to find the mileage that will allow you to stay within your budget of $82.
Let's break down the given information:
- The car rents for $40 per day (fixed cost).
- In addition to the daily cost, there is an additional charge of 21 cents per mile (variable cost).
To calculate the total cost, we need to consider both the fixed cost and the variable cost.
Total Cost = (Fixed Cost) + (Variable Cost)
Fixed Cost = $40 (per day)
Variable Cost = $0.21 (per mile)
Let's assume the total mileage as 'm.'
Variable Cost = $0.21 * m
Total Cost = $40 + ($0.21 * m)
Now, we want to find the mileage 'm' that will allow us to stay within the budget of $82.
Total Cost <= $82
$40 + ($0.21 * m) <= $82
To isolate the 'm' variable, we can start by subtracting $40 from both sides of the inequality.
($0.21 * m) <= $82 - $40
($0.21 * m) <= $42
Next, divide both sides by $0.21 to solve for 'm.'
m <= $42 / $0.21
m <= 200
Therefore, to stay within your budget of $82, the mileage should not exceed 200 miles.