Ateacher 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

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 = = gallons,

Number of cups served to a student = cup.

⇒ The amount of juice served to a student = gallon.

⇒ The amount of juice served to x students = gallon

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

⇒

Which is the required equation.

2^y = ln 5, or   y(ln 2) = ln 5.   solving for y,   y = (ln 5) / (ln 2).   y=5

step-by-step explanation: