Question

A jacket is selling for $96, but the store is offering a 31.25% discount. A sales tax of 9.875 will be applied to the sales price. Which expression will give a good estimation of the final price of the jacket

Answer 1

`p=96-0.3125(96)+0.09875(96)`

Explanation:

Givens

• The price for the jacket is $96.
• The discount is 31.25%.
• The sales tax is 9.875%.

The expression that represents this situation is

`p=96-0.3125(96)+0.09875(96)\\p=96-30+9.48\\p=75.48`

Where
`p` represents the final price.

The first term expresses the initial price.

The second term is about the discount which has to be negative.

The final term is about the sales tax which must be added to have the total price.

Therefore, the final price is $75.48, and the expression is
`p=96-0.3125(96)+0.09875(96)`