Question

A teacher has a 2 gallon ( 32 -cup ) container of juice. She gives each student 1/2 cup of juice. Which equation represents the amount of juice that remains ,y, after x student are served

Answer 1

`y = 2 - (1)/(32)x\text{ or } y=2-0.03125x`

Explanation:

Here x represents the number of student and y represents the amount of juice remain after x students are served,

Given,

The total number of cup = 32,

And, the amount of juice in 32 cups = 2 gallon,

⇒ The amount in 1 cup =
`(2)/(32)` =
`(1)/(16)` gallons,

Number of cups served to a student =
`(1)/(2)` cup.

⇒ The amount of juice served to a student =
`(1)/(32)` gallon.

⇒ The amount of juice served to x students =
`(x)/(32)` gallon

Thus, the remaining amount of juice = The amount of juice in 32 cups - served amount

⇒
`y = 2 - (1)/(32)x\text{ or } y=2-0.03125x`

Which is the required equation.