Answer:
\(c[s(p)]=0.856p\)
Step-by-step 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.
