Question

If a store offers a 40 percent discount on all products, which linear model will help us find the sale price of a product?

Answer 1

`y=0.6x`

Explanation:

If the store is offering 40 percent discount, it means that is charging 60 percent of the original price.

Let
`x` represent the original price of the product and
`y` the sale price after discount.

Since the price after discount is 60 percent of the original price, y = 60%x

Now, to convert 60% percent to decimal (and complete our model), we just need to divide it by 100%, so:

`y=(60)/(100) x`

`y=0.6x`

We can conclude that the linear model that help us find the sale price of a product is
`y=0.6x`

where

`y` is the sale price of the product

`x` is the price before discount (original price) of the product