For solving this problem we must use a calculator or software that allows us to do an exponential regression.
Using a calculator, for example, we introduce the values of x and y and then we adjust an exponential function of the form:
[tex]y=A\cdot e^{k\cdot x}[/tex]
Where A and k are the parameters to adjust. So solving with a calculator or software we get to this table of data the following result:
[tex]\begin{gathered} A\cong6.6114 \\ k\cong0.4378321 \end{gathered}[/tex]
Now, taking into account that we can rewrite the function above in the following form:
[tex]\begin{gathered} y=A\cdot B^x \\ B=e^k\cong1.549344 \end{gathered}[/tex]
We see that the adjustment is approximately:
[tex]y=6.61\cdot1.55^x[/tex]
So the correct answer is: C. y = 6.61 × 1.55^x
