Answer:
[tex]y=0.01(3)^x[/tex]Explanation:
An exponential function is a function of the form:
[tex]y=ab^x[/tex]When x=0 and y=0.01
[tex]\begin{gathered} y=ab^x \\ \implies0.01=ab^0 \\ \implies a=0.01 \end{gathered}[/tex]When x=1, y=0.03 and a=0.01:
[tex]\begin{gathered} y=ab^x \\ 0.03=0.01(b)^1 \\ b=\frac{0.03}{0.01} \\ b=3 \end{gathered}[/tex]Thus, the equation of the exponential function is:
[tex]y=0.01(3)^x[/tex]