Identify the initial value in each formula below, and state whether the formula models exponential growth or
exponential decay. justify your responses.
d. f(t) = 2 / 3 (1 / 3)^t

Initial Value is , This function follows exponential decay

Step-by-step explanation:

The initial value of any time based function is the value of f(t) at t = 0. For calculating the initial value of this function all we have to do is insert 0 as the value of t.

Hence the initial  value is

To find out whether this function is exponential growth or decay we need to ascertain whether the base value of the power t is greater than or lesser than 1

In this case the base value of  is    which is lesser than 1, hence this function is exponential decay since with each increase in power the total value will decrease,i.e.

This can also be proven from the graph below

i'm not sure i quite understand, could you provide more information?