Question

I need help on this problem

Answer 1

`y=0.01(3)^x`

Step-by-step explanation:

An exponential function is a function of the form:

`y=ab^x`

When x=0 and y=0.01

`\begin{gathered} y=ab^x \\ \implies0.01=ab^0 \\ \implies a=0.01 \end{gathered}`

When x=1, y=0.03 and a=0.01:

`\begin{gathered} y=ab^x \\ 0.03=0.01(b)^1 \\ b=(0.03)/(0.01) \\ b=3 \end{gathered}`

Thus, the equation of the exponential function is:

`y=0.01(3)^x`