Question

6. Customers at the Palace Pro Shop receive a 20% discount if they are members. All customers

Answer 1

Answer: Total amount for an item would be 85.6x.

Step-by-step explanation:

Since we have given that

Rate of discount = 205

Rate of sales tax = 7%

Function f(x) is used to determine the price of an item after the 20% member discount is given by

$f(x)=0.8x$

Function g(x) is used to determine the total amount customers pay for a purchase after all discounts are applied which is given by

$g(x)=107x$

we will use composite function gof(x) to find the total amount a member pays for an item with a regular price of x dollars.

$T(x)=g(f(x))=g(0.8x)=107\times 0.8x=85.6x$

Hence, total amount for an item would be 85.6x.