A furniture store is having a weekend sale and is offering a 20% discount on patio chairs and tables. The sales tax on furniture is 6.25%. Using function composition, how can you represent the total amount, A, that you would need to pay for furniture that costs x dollars?

Question

Mathematics

Lilly Dawson

19 April, 18:37

A furniture store is having a weekend sale and is offering a 20% discount on patio chairs and tables. The sales tax on furniture is 6.25%. Using function composition, how can you represent the total amount, A, that you would need to pay for furniture that costs x dollars?

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Nora Romero · Answer 1

First, we subtract 20% of the amount from x, so the initial cost of the furniture should be 80% of x or 0.80x. Then, due to the sales taxs, this amount should be added with 6.25% of itself. Such that,

A = 0.80x + 0.0625 (0.80x)

= 0.85x