Question

Leo is purchasing a bike that is on sale for 30% off. He knows the function that represents the sale price of his bike is c(p) = 0.7p, where p is the original price of the bike. He also knows he has to pay 12% sale's tax on the bike. The price of the bike with tax is f(c) = 1.12c, where c is the sale price of the bike.

Determine the function that can be used to calculate the final price of Leo's bike by solving for f[c(p)].

f[c(p)] = 1.82cp

 

f[c(p)] = 1.82p  
f[c(p)] = 0.784cp  
f[c(p)] = 0.784p

Answer 1

The Answer is D I just took the test

Explanation:

Answer 2

Given:
sales discount = 30%
sales tax = 12%

c(p) = 0.7p where p is the original price
f(c) = 1.12c where c is the sales price of the bike.

f[c(p)] = 1.12(0.7p)

f[c(p)] = 0.784p Last option.

Assume: p = 100
c(100) = 0.7(100) = 70
f(70) = 1.12(70) = 78.4

f[70(100)] = 0.784(100) = 78.4