Question

Sarah is purchasing a shirt that is on sale for 20% off. She knows that 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% sales 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 sears shirt by solving for c[s(p)].

Answer 1

c[s(p)] = 0.856p. I hope this answer helps. Please give me a rate and thanks! :P

Answer 2

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

Explanation:

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

The function that represents the sale price of her shirt is
`s(p)=0.8p`

where P is the original price of the shirt.

Sales tax is 7%, so the cost of the shirt with tax is
`c(s)= 1.07s`

where S is the sale price of the shirt.

Now, 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))`

Substituting s(p) = 0.8 p we have;

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

Therefore, the composite function is
`c[s(p)]=0.856p` , where p is the original price of the shirt.