A teacher has a 2 -gallon ( 32 -cup) container of juice. She gives each student 1 half cup of juice. Which equation represents the amount of juice that remains, y , after x students are served?
Answer
A
y is equal to 1 half x minus 32
B
y is equal to negative 1 half x plus 32
C
y is equal to negative 32 x plus 1 half
D
y is equal to 32 x minus 1 half
Explanation
The container starts with 32 cups, and each student receives 1/2 cup. After x students are served, the amount given out is (1/2)x cups, so the amount remaining is y = 32 − (1/2)x. This is the same as y = −(1/2)x + 32, choice B.
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