8
AssignmentMultiple Choice

Composition of Polynomial Functions

Question 8 • Algebra III A

Juliana, an architect, buys a drawing table on sale for 20% off. She also gets a 15% store membership discount on the sale price. Use composition of functions to determine the expression for the final cost of a drawing table. Let x be the initial price of the drawing table.

Answer
A
0.32x
B
0.35x
C
0.65x
D
0.68x

Explanation

A 20% discount leaves 80% of the initial price, so the sale price is 0.80x. The 15% membership discount then leaves 85% of that sale price: 0.85(0.80x) = 0.68x. Therefore, the final cost is 0.68x, choice D.

AI-written and checked against the verified answer.

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