Question

I furniture stores having a weekend sale and is offering 20% discount on patio chairs and table 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 this furniture that cost X dollars

Answer 1

0.85X dollars.

Explanation:

Let X dollars be the cost of furniture.

We have been given that a furniture stores having a weekend sale and is offering 20% discount on patio chairs and table.

This means the price of furniture after 20% discount will be X-20% of X.

`\text{Price of furniture after discount}=X-((20)/(100)*X)`

`\text{Price of furniture after discount}=X-0.20X)`

`\text{Price of furniture after discount}=0.80X`

We are also told that the sales tax on furniture is 6.25%. Since sales tax is added after discount, so price of furniture after sales tax will be:

`\text{Price of furniture after sales tax}=0.80X+((6.25)/(100)*0.80X)`

`\text{Price of furniture after sales tax}=0.80X+(0.0625*0.80X)`

`\text{Price of furniture after sales tax}=0.80X+0.05X`

`\text{Price of furniture after sales tax}=0.85X`

Therefore, we need to pay 0.85X dollars for the furniture.