Notes
| \({\text{Exponential Models}}\) | |
| \(\underline{\text{Exponential Growth}}\) | \(\underline{\text{Exponential Decay}}\) |
|---|---|
| \(y=a(1+r)^t\) | \(y=a(1-r)^t\) |
| \(y={\text{value at time t}}\) \(a={\text{value at time 0}}\) \(r={\text{growth/decay rate}}\) \(t={\text{time}}\) |
|
Practice Problems
Identify whether each exponential model is growth or decay, then give the rate and the initial value.
\(\textbf{1)}\) \(y=4(\frac{3}{4})^t\)
\(\textbf{2)}\) \(y=.5(1.78)^t\)
\(\textbf{3)}\) \(y=3(.78)^t\)
\(\textbf{4)}\) \(y=4(3)^t\)
\(\textbf{5)}\) \(y=2(.1)^t\)
