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 students are served?

Answer 1

Answer:

$y=-0.5x+32$

Step-by-step explanation:

Let y represent the amount of remaining juice after x students are served.

We have been given that a teacher has a 2-gallon (32-cup) container of juice. She gives each student 1/2 cup of juice.

We will write our given equation in slope-intercept form of equation.

Since initially teacher has 32 cups of juice, so it will be y-intercept.

We are told that the teacher gives each student 1/2 cup of juice, so amount of juice will decrease by 0.5 cups after serving each student. This means that slope of the line would be $-0.5$.

Therefore, our required equation would be $y=-0.5x+32$.

Answer 2

Y = 32 - 1/2x

example : lets say that there r 30 students.....x = 30
y = 32 - 1/2(30)
y = 32 - 15
y = 17 cups......so 17 cups remain