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. A 2-column table with 4 rows. The first column is labeled x with entries 0, 0. 5, 1, 2001. 5. The second column is labeled y with entries 40, 39. 25, 38. 5, 37. 75. What is the range of this function?.

Answer 1

Range is the difference between the two possible extremes. The range of the given function is 0 to 40.

Given information-

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

The first column is labeled x with entries 0, 0.5, 1, 1.5

The second column is labeled y with entries 40, 39.25, 38.5, 37.75.

Range

Range is the difference between the two possible extremes. The range can also be defined as the group between the highest value to the lowest value.

The amount of water remaining in the bathtub is represented with the y, and the time is represented with x.

As the time will increases the value of the water will decreases due to draining. The water will be keep on reduce until it will end or the value of the water becomes equals to the zero in the bathtub.

Thus the range of the function can be given as,

$0\leq y\leq 40$

Hence the range of the given function is 0 to 40.

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