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.

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.