We will have the following:
Using exponential regression we will have that the line of best fit will be:
[tex]f\mleft(x\mright)=8585.658603*1.399211892^x[/tex]
Now, we will have that:
[tex]\begin{gathered} 300000=8585.658603*1.399211892^x\Rightarrow34.94199034=1.399211892^x \\ \\ \Rightarrow x=\frac{ln(34.94199034)}{1.399211892}\Rightarrow x= \end{gathered}[/tex]
So, the approximation using linear regression gives us as solution approximately 29.7 years; thus the closest one to match is then
