Q:

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

Accepted Solution

A:
Answer: [tex]y = 2 - \frac{1}{32}x\text{ or } y=2-0.03125x[/tex]Step-by-step 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 = [tex]\frac{2}{32}[/tex] = [tex]\frac{1}{16}[/tex] gallons,Number of cups served to a student = [tex]\frac{1}{2}[/tex] cup.⇒ The amount of juice served to a student = [tex]\frac{1}{32}[/tex] gallon.⇒ The amount of juice served to x students = [tex]\frac{x}{32}[/tex] gallonThus, the remaining amount of juice = The amount of juice in 32 cups - served amount⇒ [tex]y = 2 - \frac{1}{32}x\text{ or } y=2-0.03125x[/tex]Which is the required equation.