1 Answer

Tyler Crompton · Answer 1 · 2023-01-25T19:03:41+0000

In order to find the exponential function, let's use the model:

$y=a\cdot b^x$

Then, to find the values of a and b, let's use the first two points of the table:

$\begin{gathered} x=0,y=5\colon \\ 5=a\cdot b^0\to a=5 \\ \\ x=1,y=15\colon \\ 15=5\cdot b^1 \\ b=(15)/(5)=3 \end{gathered}$

So our function is:

$y=5\cdot3^x$

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