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15 October, 05:24

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.

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Answers (1)
  1. 15 October, 05:42
    0
    Yes, this is a linear function because the rate of change is constant

    Step-by-step 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"
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