Question

A bathtub is being filled at a rate of 4 liters per minute. Can this situation be

modeled with a linear function? Choose the answer that best describes this
situation.
No, this is not a linear function because there is no such thing as a linear function.
Yes, this is a linear function because the rate of change is constant.
No, this is not a linear function because the rate of change is not constant.
Yes, this is a linear function because each input has one output.

Answer 1

Yes, this is a linear function because the rate of change is constant

Explanation:

Linear Functions

We can recognize a linear relation between variables x and y when they can be represented by a formula like

y=mx+b

Where m is the rate of change and it has a constant value. More specifically, a proportional relationship is a special case where b=0, meaning that every value of y divided by the corresponding value of x, is constant.

The situation described in the question says a bathtub is being filled at a rate of 4 liters per minute. It means that every minute, 4 liters are constantly being added to the existing quantity. This is a constant rate of change, so the correct answer is

"Yes, this is a linear function because the rate of change is constant"