SOLUTION: Customers at the Palace Pro Shop receive a 10% discount if they are members. All customers must pay 7% in sales tax. The function f (x ) = 0.9x is used to determine the price of

Algebra ->  Functions -> SOLUTION: Customers at the Palace Pro Shop receive a 10% discount if they are members. All customers must pay 7% in sales tax. The function f (x ) = 0.9x is used to determine the price of       Log On


   

Question 1168203: Customers at the Palace Pro Shop receive a 10% discount if they are members. All
customers must pay 7% in sales tax. The function f (x ) = 0.9x
is used to determine the price of an item after the 10% member discount, where
x is the regular price of the item. The function g(x ) = 1.07x
is used to determine the total amount customers pay for a purchase after all discounts are applied. Which function can be used to determine
T (x ), the total amount a member pays for an item with a regular price of
x dollars?
A.
T (x ) = 0.963x
B.
T (x ) = 0.17x
C.
T (x ) = 1.19x
D.
T (x ) = 1.97x
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

The function used to determine the price of an item after the 10% member discount is:
f%28x%29+=+0.9x, where x is the regular price of the item.
The function used to determine the total amount customers pay for a purchase after sales tax is applied is:
g%28x%29+=+1.07x
total amount to be paid by customer for an item with regular price of x dollars is:
T%28x%29+=+regular_+price%2A+discount+%2A+sales_+tax
T%28x%29+=+x%2A0.9+%2A1.07
T%28x%29+=+0.963x

so, answer is option A