Question 1171827
direct and inverse proportion formula for this problem is:
n = k * i / c
n = number of rentals
i = inventory
c = cost of each rental


n = 300
i = 960
c = 25


n = k * i / c becomes 300 = k * 960 / 25
solve k to get:
k = 300 * 25 / 960 = 7.8125


confirm by replacing k in the original equation to get:
300 = 7.8125 * 960 / 25 = 300
this confirms the value of k is good.


increasing the cost of each rental from 25 to 30 yields the following.
k remains the same at 7.8125
i remains the same at 960
formula becomes:
n = 7.8125 * 960 / 30
solve for n to get:
n = 250


based on the formula, raising the cost for each rental from 25 to 30 results in 50 fewer rentals.