Answer:
Option A is correct
Common ratio = 4
Step-by-step explanation:
Common ratio(r) : In a geometric series, the common ratio is the ratio of a term to the previous term.
[tex]r = \frac{a_2}{a_1}=\frac{a_3}{a_2}= \frac{a_4}{a_3}=.....[/tex]
As per the statement:
The values in the table represent a exponential function.
Since, Geometric sequences and exponential functions are very closely related to each other.
At x= 1;
y = 9
At x = 2;
y = 36 and so on....
By definition we have;
[tex]r = \frac{36}{9} =\frac{144}{36}=......[/tex]
After solving we get;
r =4
Therefore, the common ratio of the associated geometric is, 4
