Question

The scenarios below can be represented using functions. Which of the following scenarios should be modeled using exponential functions? Select all that apply.

Answer 1

The function represented by points A, B, and E is clearly modeled using an exponential function.

what is an exponential function?

The function which is in format f(x) = $a^X$  where, a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).  

Here, the function has a rate of growth or decay for an uncertain period of time modeled as an exponential function..

A.The height of a plant each day that it grows.
⇒ This statement does not give the rate of growth, but we assume that it has a certain rate of growth, so it is an exponential modeled function.

B. The value of a savings bond increases 15% each year.
⇒ it is modeled as an exponential function.

C. Radioactive material decays by half every 2 hours.
⇒ it is also modeled as an exponential function.

D. Stephanie earns $14 an hour at her after-school job.
⇒ It is not an exponential function.

E. The population of a town grows 3% each year.
⇒ it is also modeled as an exponential function.

Thus, the function represented by points A, B, and E is clearly modeled using an exponential function.

Learn more about exponential function here:

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