Question

The amount of orange juice in a bottle is modeled by the equation y=128-8x, where y is the number of ounces of juice in the bottle, and x is the number of servings of juice poured from the bottle. How many servings are in a bottle?

Answer 1

Number of servings left is bottle
`= 128-9x`

Explanation:

The amount of orange juice in a bottle is modeled by the equation

`y=128-8x` ---Eq (1)

Here y = number of ounces of juice in the bottle

and x = number of servings of juice poured from the bottle

Number of servings left is bottle = number of ounces of juice in the bottle -number of servings of juice poured from the bottle

Thus,

Number of servings left is bottle = y -x

Substracting x from both the sides of the above equation, we get -
`y-x = 128-8x-x\\y-x = 128-9x`

Number of servings left is bottle
`= 128-9x`