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.

Answer:The range of y will be all real numbers such that 0≤y≤40Step-by-step explanation:The complete question is: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 ≤ 40Solution:Raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. The amount of water remaining in the bathtub = yThe function of  time in minutes, that it has been draining = xAt 0 minutes the amount of water is 40 gallons.The highest volume of water is 40 which is decreasing at the rate of 1.5 gallons per minuteThe given function is a linear function  y = 0 However, the volume of water can be 0 but cannot ever be negative.Therefore the range of y will be all real numbers such that 0≤y≤40