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A teacher has a 2-gallon (32-cup) container of juice. She gives each student One-half cup of juice. Which equation represents the amount of juice that remains, y, after x students are served? a y = 32 x minus one-half b y = one-half x minus 32 c y = negative one-half x + 32 d y = negative 32 x + one-half

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adioabiola

The equation represents the amount of juice that remains, y, after x students are served is y = negative one-half x + 32; option C

Equation of the unknown

  • Quantity of juice = 2 gallon = 32 cups
  • Quantity given to each student = 1/2 cup
  • Number of juice remaining = y
  • Number of students served = x

y = 32 - 1/2x

This can also be written as;

y = -1/2x + 32

Therefore, the correct answer is option C; y = -1/2x + 32

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