Answer:
Option D [[tex]y=6.61\,*\,1.55^x[/tex]] in the list of possible answers
Step-by-step explanation:
For this problem you are supposed to use a calculator that allows you to do an exponential regression. There are many tools that can help you with that, depending on what your instructors has assigned for your class.
I am showing you the results of a graphing tool I use, and which after entering the x-values and the y-values in independent "List" forms, when I request the exponential regression to fit the data, I get what you can see in the attached image.
Notice that the exponential of best fit with my calculator comes in the form:
[tex]y=A\,e^{k\, x}[/tex]
with optimized parameters:
[tex]A \approx 6.6114\,\,\,and\,\,\, k=0.4378321[/tex]
Notice as well that since:
[tex]e^{0.4378321} \approx 1.5490[/tex]
the exponential best fit can also be written:
[tex]y=6.611403\,\,*\,e^{0.4378321\, x}=6.611403\,*\,1.549^{\,x}[/tex]
and this expression is very close to the last option shown in your list of possible answers
