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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

The quantity of an element is decaying over time such that the amount of material at any time is given by the function Gt9000072t Write an equivalent function o class=

Respuesta :

Answer:

see below

Step-by-step explanation:

= 9000 ( .7^2) ^t  = 9000 (.49)^t

semsee45

Answer:

[tex]G(t)=9000(0.49)^{t}[/tex]

Step-by-step explanation:

Given function:

[tex]G(t)=9000(0.7)^{2t}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c:[/tex]

[tex]\implies G(t)=9000(0.7^2)^{t}[/tex]

Simplify:

[tex]\implies G(t)=9000(0.49)^{t}[/tex]

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