Question

Determine whether the equation represents exponential growth exponential decay or neither. The starting value of the function is?

Answer 1

Given:

$f(t)=300(1-t)^5$

The exponential growth formula is,

$\begin{gathered} y=a(1+r)^x \\ r=\text{ grwoth rate} \\ a=\text{ initial value} \\ x=\text{ time} \end{gathered}$

The exponential decay formula is,

$\begin{gathered} y=a(1-r)^x \\ r=\text{ decay rate} \\ a=\text{ initial value} \\ x=\text{ time} \end{gathered}$

So, the given equation is exponential decay.

The starting value of the function is 300