Given the following exponential function, identify whether the change represents
growth or decay, and determine the percentage rate of increase or decrease.

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Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.

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To determine whether an exponential function represents growth or decay, and to find the percentage rate of increase or decrease, we typically look at the function in the form:

$$ f(t) = a \cdot b^t $$

where:
- $$ a $$ is the initial value,
- $$ b $$ is the base of the exponential function,
- $$ t $$ is time.

1. **Identify Growth or Decay**:
   - If $$ b > 1 $$, the function represents exponential growth.
   - If $$ 0 < b < 1 $$, the function represents exponential decay.

2. **Determine the Percentage Rate**:
   - The percentage rate of increase or decrease can be calculated using the formula:
     - For growth: $$ \text{Rate} = (b - 1) \times 100\% $$
     - For decay: $$ \text{Rate} = (1 - b) \times 100\% $$

If you provide the specific exponential function you are working with, I can help you analyze it further!
To determine if an exponential function represents growth or decay, check if the base $$ b $$ is greater than 1 for growth or between 0 and 1 for decay. The percentage rate is calculated as $$ (b - 1) \times 100\% $$ for growth and $$ (1 - b) \times 100\% $$ for decay.

Given the following exponential function, identify whether the change represents
growth or decay, and determine the percentage rate of increase or decrease.

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