Question

Ray is purchasing a laptop that is on sale for 25% off. He knows the function that represents the sale price of his laptop is c(p) = 0.75p, where p is the original price of the laptop. He also knows he has to pay 8% sale's tax on the laptop. The price of the laptop with tax is f(c) = 1.08c, where c is the sale price of the laptop.
Determine the composite function that can be used to calculate the final price of Ray's laptop by solving for f[c(p)].
f[c(p)] = 1.83p
f[c(p)] = 1.83cp
f[c(p)] = 0.81p
f[c(p)] = 0.81cp

Answer 1

Given:
c(p) = 0.75p
f(c) = 1.08c

f[c(p)] = 1.08*0.75p
f[c(p)] = 0.81p  The 3rd option is my answer.

Answer 2

Answer: $f(c(p))=0.81p$

Step-by-step explanation:

Given: Ray is purchasing a laptop that is on sale for 25% off.

The function that represents the sale price of his laptop is $c(p) = 0.75p$, where p is the original price of the laptop.

The percent of tax on laptop=  8%

The price of the laptop with tax is $f(c) = 1.08c$, where c is the sale price of the laptop.

The composite function that can be used to calculate the final price of Ray's laptop will be:-

$f(c(p))=1.08(0.75p)\\\\\Rightarrow\ f(c(p))=1.08\times0.75p\\\\\Rightarrow\ f(c(p))=0.81p$