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)].

f[c(p)] = 0.9265cp
f[c(p)] = 0.9265p
f[c(p)] = 1.94cp
f[c(p)] = 1.94p

Answer 1

I agree that the answer is letter B :)

Answer 2

Answer: f[c(p)] = 0.9265p

Step-by-step explanation:

Given: 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.

Now, the composite function that can be used to calculate the final price of Jonah's car is given by :-

$f(c(p))=f(0.85p)=1.09(0.85p)=1.09\times0.85p=0.9265p$