Question

The quantity of an element is decaying over time such that the amount of material at any time is given by the function G(t)=9000(0.7)^2t. Write an equivalent function of the form G(t)=ab^t

Answer 1

see below

Explanation:

= 9000 ( .7^2) ^t = 9000 (.49)^t

Answer 2

`G(t)=9000(0.49)^(t)`

Explanation:

Given function:

`G(t)=9000(0.7)^(2t)`

`\textsf{Apply exponent rule} \quad a^(bc)=(a^b)^c:`

`\implies G(t)=9000(0.7^2)^(t)`

Simplify:

`\implies G(t)=9000(0.49)^(t)`