Given the exponential model y = 200 (.80) ^x, tell whether the model represents exponential growth or decay. Then, tell what the growth/decay factor is and the growth/decay percent.

Question

Yahir

Mathematics

25 May, 13:44

Given the exponential model y = 200 (.80) ^x, tell whether the model represents exponential growth or decay. Then, tell what the growth/decay factor is and the growth/decay percent.

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Harley Baldwin · Answer 1

This function represents exponential decay.

We know it's exponential because the value the base (200) is being multiplied by is being raised to the power of x.

In this case, the multiplication value is 0.8, which is less than 1.

If the multiplication value is less than 1, than the function will decay, rather than grow.

In this case, the factor is 0.8, or 80%.