Question

A sporting goods store is having a 15% off sale on all items. Which functions can be used to find the sale price of an item that has an original price of x? You may choose more than one correct answer.

ƒ(x) = x - .15x
Sale = Original - 15
ƒ(x) = 1.15x
Sale = Original - .15(Original)

Answer 1

According to the question, the store is giving 15% off sales on all items. That means there will be a reduction of 15% in sale price of each item.

Let
`x` represent the original price of an item.

15% of the original price
`=(15)/(100) * x=0.15x`

The sale price of an item in the store will now reduce by
`0.15x`. This means that;

`Sale\: Price =Original-0.15(Original)`

But
`x` is the original price, therefore we can substitute
`x`, wherever we see original. This gives us;

`Sale\: Price=x-0.15x`

Since sale price is expressed in terms of
`x`, we can also write it as a function of
`x`. That is,

`f(x)=x-0.15x`

Therefore the correct answers are

`f(x)=x-0.15x`

and

`Sale\: Price=Original-0.15(Original)`