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

$Y(t)=ab^t$

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

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