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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

Verified Answer :

i agree that the answer is letter B :)

JeanaShupp

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 :-

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

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