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.

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation: