Question

(07.09) 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)]. (1 point) f[c(p)] = 0.9265cp f[c(p)] = 0.9265p f[c(p)] = 1.94cp f[c(p)] = 1.94p

Answer 1

Answer:

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 , 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 , 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 :-

Answer 2

Answer:

f[c(p)] = 0.9265p

Step-by-step explanation:

c(p) = 0.85p

f(c) = 1.09c

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

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