Question

Jonah is purchasing a car that is on sale for 15% off. He knows the function that represents the sale price of his car is c(p) = 0.85p, where p is the original price of the car. He also knows he has to pay 9% sale's tax on the car. The price of the car with tax is f(c) = 1.09c, where c is the sale price of the car. Determine the composite function that can be used to calculate the final price of Jonah's car by solving for f[c(p)].
answers
A.f [c(p)] = 0.9265cp
B. f[c(p)] = 0.9265p
C. f [c(p)} = 1.94cp
D. f [c(p)] = 1.94p

Answer 1

The answer is b, f[c(p)]=0.9265p.

f[c(p)]=f(0.85p)=1.09(0.85p)=0.9265p