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 or juice poured from the bottle.

How many servings are in a bottle?

Answer 1

There are 16 servings in the bottle.

Explanation:

The equation for the amount of juice left in the bottle is:

y = 128 - 8*x

Where x is the number of servings of juice poured from the bottle.

The total number of servings that are in the bottle is the value of x such that we have y = 0 (because in that point, we do not have more juice left)

Then we need to solve:

y = 0 = 128 - 8*x

8*x = 128

now we can just divide both sides by 8

x = 128/8 = 16

There are 16 servings in the bottle.