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 ____for a standard car rental. If that rental car is driven for 375 miles, then the cost per mile is $_______.

Let x be the number of miles traveled.Let y be the cost per mile for the trip.As y inversly varies as x.So[tex] y=\frac{k}{x} [/tex]Here 'k' is the constant of proportionality.Now y = 0.25 when x = 300Substituting in the equation , we get[tex] 0.25=\frac{k}{300} [/tex]Multiplying by 300 on both sides we get0.25 ×300 = kk = 75Now our equation becomes[tex] y=\frac{75}{x} [/tex]Now for x = 375, we get[tex] y=\frac{75}{375} [/tex]We get y = $0.20At Zippy Car Rentals, the constant of variation is 75 for a standard car rental. If that rental car is driven for 375 miles, then the cost per mile is $0.20.