which number is missing in the table of values below?\n| x | y |\n| 0 | 1 |\n| 1 | 6 |\n| 2 | 36 |\n| 3 |…

Explanation:

Step1: Identify the pattern

Observe that when $x = 0$, $y=1 = 6^{0}$; when $x = 1$, $y = 6=6^{1}$; when $x = 2$, $y = 36=6^{2}$; when $x = 4$, $y = 1296=6^{4}$. The pattern is $y = 6^{x}$.

Step2: Calculate the missing value

When $x = 3$, substitute $x$ into the formula $y = 6^{x}$. So $y=6^{3}=6\times6\times6 = 216$.

Answer:

B. 216