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29 December, 12:45

Distinguish between the situations that can be modeled with a linear function, an exponential functions or neither

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  1. 29 December, 13:01
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    2 in each section
  2. 29 December, 13:06
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    Examples of linear functions would be relationships that represent a constant rate of change, such as 20 miles per gallon of gas. Exponential functions would be relationships that represent a growth or decay the increases or decreases by an exponential amount, such as a bacterial growth that doubles each hour. Examples of situations that would be neither linear or exponential would be absolute value functions or quadratic functions.

    Step-by-step explanation:

    Situations, or relationships between data, that can be modeled with a linear function must show a constant increase or decrease in rate. For example, we could control the rate of temperature in a water bath by two degrees every ten minutes. For exponential functions, these can be modeled in situations where there is a significant growth or decay of a material. For instance, the radioactivity of an element will decrease by one-half every year. This would represent an exponential decay. For other types of situations, such as changes in body temperature (absolute value) or the speed of a kayaker (quadratic), these would not be modeled using either linear or exponential functions.
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