Answer: D. [tex]y=12.74(0.7)^x.[/tex]
Step-by-step explanation:
According to given table, we can see that initial value where x=0, y is 12.74.
Therefore, initial value of the data is y=12.74.
We know, formula for an exponential function is
[tex]y=a(b)^x[/tex], where a is initial value and b is growth factor.
Let us find value of growth factor b.
In the given table, we can see that values of y's are getting decreasing as x increases.
That represents an exponential decay function.
The value of an growth/decay factor b in exponential decay function is always less than 1.
We can see option D has initial value a= 12.74 and growth factor b=0.7 that is less than 1.
Therefore, correct option would be D option [tex]y=12.74(0.7)^x.[/tex]
