How can you tell whether an exponential model describes exponential growth or exponential decay?

How can you tell whether an exponential model describes exponential growth or exponential decay?

Question
Exponential growth and decay
asked 2021-03-02
How can you tell whether an exponential model describes exponential growth or exponential decay?

Answers (1)

2021-03-03
An exponential model is of the form \(A=A_0e^(kt)\) where \(A_0\) is the original amount or size of the entity at t = 0, A is amount or size at time t, and k is a constant representing the rate of growth decay.
If k > 0, then the model represents a growing quantity and k is called as the growth rate.
If k
So, we can tell whether an exponential model describes exponential growth or decay using the value of k.
Step 2
Conclusion:
Therefore, we can tell whether an exponential model describes exponential growth or decay using the value of k.
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