Answer:
[tex]c[s(p)]=0.856p[/tex]
Step-by-step 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:
[tex]s(p) = 0.8p[/tex] 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
[tex]c[s(p)]=1.07(s(p))[/tex]
Substitute s(p) = 0.8 p we have;
[tex]c[0.8p]=1.07(0.8p) =0.856p[/tex]
⇒[tex]c[s(p)]=0.856p[/tex], 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
Answer:
c[s(p)]= 0.856p
Step-by-step explanation:
That's what I got on the test :)))
