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:
Answer:
P(x)=0.085x
Step-by-step explanation:
Let the cost of the item be x
Discount = 20% of x
We know that 20%=
Hence
Discount = 0.02x
Selling Price = x - 0.02x
Selling Price = 0.08x
Tax = 6.25% of Selling price
Tax = 0.0625*(0.08)x
Tax=0.005x
Net payment to be made = selling price + Tax
Net Payment = 0.08x+0.005x
Net payment = 0.085x
Hence we can write our function as
P(x)=0.085x
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
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