Question

The amount of revenue for a business can be modeled by the function Y (t) = 6000 (2)^3t. Write an equivalent function of the form Y (t) =ab^t

Answer 1

Given

`Y(t)=6000(2)^(3t)`

Find

Write an equivalent function of the form

`Y(t)=ab^t`

Step-by-step explanation

as we have given

`Y(t)=6000(2)^(3t)`

we can rewrite this as

`\begin{gathered} Y(t)=6000(2)^(3t) \\ Y(t)=6000[(2)^3]^t \\ Y(t)=6000(8)^t \end{gathered}`

Final Answer

Hence , an equivalent function of the form

`Y(t)=ab^t`

is

`Y(t)=6000(8)^t`