rajs bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. the table shows that…

rajs 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\n|x|y|\n|0|40|\n|0.5|39.25|\n|1|38.5|\n|1.5|37.75|

rajs 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\n|x|y|\n|0|40|\n|0.5|39.25|\n|1|38.5|\n|1.5|37.75|

Answer

Explanation:

Step1: Identify the initial and final values of y

The initial value of y (when x = 0) is 40. As the bathtub drains, the amount of water y decreases. The least value of y shown in the table is 37.75. But since the bathtub will continue to drain until it is empty (y = 0), the range is from 0 to the initial amount of water.

Step2: Determine the range

The range of a function is the set of all possible output values (y - values). Here, the amount of water y starts at 40 gallons and goes down to 0 gallons as the bathtub drains completely. So the range is all real - numbers such that (0\leq y\leq40).

Answer:

all real numbers such that (0\leq y\leq40)