Question

Sarah is purchasing a shirt that is on sale for 20% off. She knows the function that represents the sale price of her shirt is s(p) = 0.8p, where p is the original price of the shirt. She also knows she has to pay 7% sale's tax on the shirt. The cost of the shirt with tax is c(s) = 1.07s, where s is the sale price of the shirt.

Determine the composite function that can be used to calculate the final price of Sarah's shirt by solving for c[s(p)].

Answer 1

c[s(p)]= 0.856p

Explanation:

That's what I got on the test :)))

Answer 2

`c[s(p)]=0.856p`

Explanation:

As per the statement:

Sarah is purchasing a shirt that is on sale for 20% off.

She knows the function that represents the sale price of her shirt is given by:

`s(p) = 0.8p` where, p is the original price of the shirt.

It is also given that:

She also knows she has to pay 7% sale's tax on the shirt. The cost of the shirt with tax is

c(s) = 1.07 s, where s is the sale price of the shirt.

We have to find the composite function that can be used to calculate the final price of Sarah's shirt

`c[s(p)]=1.07(s(p))`

Substitute s(p) = 0.8 p we have;

`c[0.8p]=1.07(0.8p) =0.856p`

⇒
`c[s(p)]=0.856p`, where p is the original price of the shirt

Therefore, the composite function that can be used to calculate the final price of Sarah's shirt by solving for c[s(p)] is, 0.856p