Question

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

When renting a car, the cost per mile is inversely proportional to the number of miles driven. At Zippy Car Rentals, if the standard model car is
driven for 300 miles, then the cost per mile is $0.25.
At Zippy Car Rentals, the constant of variation is
is $
for a standard car rental. If that rental car is driven for 375 miles, then the cost per mile

Answer 1

To find the constant of variation for Zippy Car Rentals, multiply the number of miles by the cost per mile for 300 miles. Then, use this constant to divide by 375 miles to find the new cost per mile.

Step-by-step explanation:

The cost per mile is inversely proportional to the number of miles driven, which means the product of the cost per mile and the number of miles is constant (the constant of variation). We are given that if a car is driven for 300 miles, the cost per mile is $0.25. Therefore, the constant of variation can be calculated as 300 miles * $0.25/mile = $75.

With the constant of variation known, if the car is then driven for 375 miles, the cost per mile can be found by dividing this constant by the new number of miles. Hence, the cost per mile is $75 / 375 miles = $0.20/mile when the car is driven for 375 miles.