Question

Raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. The table shows that the amount of water remaining in the bathtub, y, is a function of the time in minutes, x, that it has been draining. What is the range of this function? all real numbers such that y ≤ 40 all real numbers such that y ≥ 0 all real numbers such that 0 ≤ y ≤ 40 all real numbers such that 37.75 ≤ y ≤ 40

Answer 1

Answer:

Step-by-step explanation:

Raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. (Given)

Thus, rate of draining of water gallons per minute = -1.5

Amount of water remaining in the bathtub = y,

The function of the time in minutes that it has been draining = x, .

At 0 minutes the amount of water is 40 gallons.

Thus,the highest volume of water is 40 which is decreasing at the rate of 1.5 gallons per minute

The given function is a linear function  

y = 0

However, the volume of water can be 0 but cannot ever be negative.

Thus, the range of y will be all real numbers such that 0≤y≤40