Final answer:
The cost per mile is inversely proportional to the number of miles driven. The constant of variation for a standard car rental at Zippy Car Rentals is 75. The cost per mile when the rental car is driven for 375 miles is $0.20.
Step-by-step explanation:
The cost per mile is inversely proportional to the number of miles driven.
Let's denote the cost per mile as C and the number of miles driven as M.
According to the given information, when the standard model car is driven for 300 miles, the cost per mile is $0.25. So we can write an equation: C = k/M, where k is the constant of variation.
Now we can solve for k. Substituting the given values, we have 0.25 = k/300.
Multiplying both sides by 300, we get k = 0.25 * 300 = 75.
Therefore, the constant of variation for a standard car rental at Zippy Car Rentals is 75.
If the rental car is driven for 375 miles, we can use the same equation to find the cost per mile. C = 75/375 = 0.2.
So, the cost per mile when the rental car is driven for 375 miles is $0.20.