b. 6
step-by-step explanation:
we are given the table representing an exponential function.
we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.
i.e. the following relation is obtained,
x = 1, y = 6
x = 2, y = 36 = ![6^{2}](/tex.php?f=6^{2})
x = 3, y = 216 = ![6^{3}](/tex.php?f=6^{3})
x = 4, y = 1296 = ![6^{4}](/tex.php?f=6^{4})
x = 5, y = 7776 = ![6^{5}](/tex.php?f=6^{5})
so, the geometric series obtained is
.
thus, the common ratio is given by
=
= 6.
hence, the common ratio is 6.