Determine whether each function represents exponential growth or exponential decay. $$ m(t)=\left(\frac{4}{5}\right)^{t} $$ [Select ]

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The function given is:

$$ m(t) = \left(\frac{4}{5}\right)^{t} $$

To determine whether this represents **exponential growth** or **exponential decay**, consider the base of the exponent:

- If the base $$ a $$ is greater than 1 ($$ a > 1 $$), the function represents **exponential growth**.
- If the base $$ a $$ is between 0 and 1 ($$ 0 < a < 1 $$), the function represents **exponential decay**.

In this case, the base is $$ \frac{4}{5} $$, which is **less than 1** and positive. Therefore, the function:

$$ m(t) = \left(\frac{4}{5}\right)^{t} $$

**Represents exponential decay**.

**Answer:** Exponential decay
The function $$ m(t) = \left(\frac{4}{5}\right)^{t} $$ represents exponential decay.

Determine whether each function represents exponential growth or exponential decay. \( m(t)=\left(\frac{4}{5}\right)^{t} \) [Select ]

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