Final answer:
The constant of variation (k) for the cost per mile when renting a car, which is inversely proportional to the number of miles driven, is calculated as $75 for 300 miles at $0.25 per mile. None of the given options match this result.
Step-by-step explanation:
When the cost per mile is inversely proportional to the number of miles driven, the relationship can be expressed as cost per mile = k / number of miles, where k is the constant of variation. In the given scenario with Zippy Car Rentals, if the cost per mile is $0.25 for 300 miles, we calculate the constant of variation (k) as follows:
k = (cost per mile) * (number of miles)
k = $0.25 * 300 miles
k = $75
However, none of the given options A ($1200), B ($375), C ($0.3), or D ($0.25) equal $75. It appears there may be an error in the options provided. The correct constant of variation for a standard car rental at Zippy Car Rentals when driven for 300 miles at $0.25 per mile is $75, which is not listed among the provided options.