Question

Find a logarithmic function to model the data. 1) f(x) = 60.73(0.95)x2) f(x) = 0.93(60.73)x3) f(x) = 60.04 – 8.25 ln x4) f(x) = 8.25 – 60.04 ln x

Answer 1

We would write out the general formula for a logarithmic model as

`\begin{gathered} f\mleft(x\mright)=A\cdot\ln \mleft(x\mright)+B \\ \text{Where f(x)=y} \end{gathered}`

We would plot a graph based on the given equation and the table of values.

We would also have

Therefore since the graph shows a line of best fit, the answer would be;

Answer:

`\text{Option 3}`