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] gallon
Thus, 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.
