Answer:
Concept:
The general form of an exponential function is given below as
[tex]y=ab^x[/tex]
Step 1:
when x=0, y=0.01
[tex]\begin{gathered} y=ab^x \\ 0.01=ab^0 \\ a=0.01 \end{gathered}[/tex]
Step 2:
When x=1, y=0.005
[tex]\begin{gathered} y=ab^x \\ 0.005=0.01b^1 \\ 0.005=0.01b \\ divide\text{ both sides by 0.01} \\ \frac{0.01b}{0.01}=\frac{0.005}{0.01} \\ b=\frac{1}{2} \end{gathered}[/tex]
Hence,
The exponential equation will be
[tex]\begin{gathered} \Rightarrow y=0.01(\frac{1}{2})^x \\ \Rightarrow y=0.01(0.5)^x \end{gathered}[/tex]
