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?

2 answers
Question:

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?

Answers

The price will be reduced by 20%, so will become 0.8xThe tax will increase the amount by 0.0625 timesThus:A = 0.8x + 0.0625xA = 0.8625x

Answer: A = 0.85x dollars.Step-by-step explanation:Since we have given that Total Amount is represented as 'A'.Cost of furniture = x dollarsRate of discount = 20%Amount of discount is given by[tex]\frac{20}{100}\times x\\\\=0.2\times x\\\\=0.2x[/tex]So, Amount after discount becomes[tex]=x-0.2x\\\\=0.8x[/tex]Rate of sales tax = 6.25%Amount of sales tax is given by [tex]\frac{6.25}{100}\times 0.8x\\\\=0.0625\times 0.8x\\\\=0.05x\ dollars[/tex]So, Amount after sales tax becomes,[tex]A=0.8x+0.05x\\\\=0.85x\ dollars[/tex]Hence, A = 0.85x dollars.

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