Question

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?
y = 32 x minus one-half
y = one-half x minus 32
y = negative one-half x + 32
y = negative 32 x + one-half

Answer 1

Each student takes 1/2 cup, so after x students the remaining amount is 32 − (1/2)x. That matches
y = −(1/2)x + 32.