Question

Mr. Ramsey just finished bathing his kids, and now he is draining the tub. The tub contains 32 gallons of water and is draining at a rate of 3 gallons per minute. Write an equation that shows how the number of gallons remaining y depends on the number of minutes the tub has been draining, x.

a) y=32x−3
b) y=32−3x
c) y=32+3x
d) y=32−3

Answer 1

The equation that shows how the number of gallons remaining (y) depends on the number of minutes the tub has been draining (x) is: y = 32 - 3x. Hence the correct answer is option B

Step-by-step explanation:

The equation that shows how the number of gallons remaining (y) depends on the number of minutes the tub has been draining (x) is: y = 32 - 3x.

Let's break down the equation:

• 32 represents the initial number of gallons in the tub.
• 3 represents the draining rate in gallons per minute.
• x represents the number of minutes the tub has been draining.

As time (x) increases, the number of gallons remaining (y) decreases at a constant rate of 3 gallons per minute.

Hence the correct answer is option B