Solution:
Given:
[tex]P(t)=8(2^t)[/tex]
To graph the function, various poits are needed.
[tex]\begin{gathered} At\text{ the initial stage, when t = 0,} \\ P(t)=8(2^0) \\ P(t)=8(1) \\ P(t)=8 \\ \\ \\ A\text{ week later, when t = 1,} \\ P(t)=8(2^1) \\ P(t)=8(2) \\ P(t)=16 \\ \\ \\ when\text{ t = 2,} \\ P(t)=8(2^2) \\ P(t)=8(4) \\ P(t)=32 \end{gathered}[/tex]
The graph that corresponds to the following points gotten is;
Therefore, option A is the correct graph of the function.
