Question

Determine whether each set of data can be modeled by an exponential function. If so, find the exponential

function that fits the data.

Answer 1

It can be modeled by an exponential function, f(x) is divided by 3 each time x increases by 1.

This means that the base of the exponential function is 1/3, and since the value of f(x) when x=0 is 81,
`f(x)=81\left((1)/(3) \right)^(x)`