Julia made a purchase at a furniture store, but it was too big and did not fit into her car. So, she arranged to have the store deliver the purchase for her. She paid for her purchase, plus the sales taxes, plus the fee. The taxes are 5 % and the fee is $25. Write a function t ( x ) for the total, after taxes, on the purchase amount x . Write another function f ( x ) for the total, including the delivery fee, on the purchase amount x . How much money did Julia spend, if she made a $440 purchase?
A) t ( x ) = 0.05 x ; f ( x ) = x + 25 ; $47
B) t ( x ) = 1.05 x ; f ( x ) = x + 25 ; $487.00
C) t ( x ) = 1.05 x ; f ( x ) = x + 25 ; $488.25
D) t ( x ) = 0.05 x ; f ( x ) = x + 25 ; $487.00

Question

Quizplus · Accepted Answer

The correct function for the total after taxes is t(x) = 1.05x, because the purchase amount x is increased by 5% for taxes. The function for the total including the delivery fee is f(x) = x + 25, because the delivery fee is a flat rate added to the purchase amount. For a $440 purchase, the total spent is $440 * 1.05 (for taxes) + $25 (for the delivery fee) = $462 + $25 = $487.

Julia Made a Purchase at a Furniture Store, but It