Question

10  points for this                                                                                                                                               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?
I need urgent help!!!

Answer 1

The range would be all real numbers such that 0 ≤ y ≤ 40.

hope this helps!

Answer 2

all real numbers such that 0≤y≤40

Explanation:

We are given that Raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute.

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

The amount of water remaining in the bathtub, y, is a function of the time in minutes, x, that it has been draining.

At 0 minutes the amount of water is 40 gallons.

So,the highest volume of water is 40 .

The given function is linear

And decreasing at the rate of 1.5 gallons per minute

y = 0

Since volume of water can be 0 but cannot be negative.

So, range of y is all real numbers such that 0≤y≤40