Question

The given table shows an exponential function. Find the value of "B" in the table.

Input	Output
0	18
1	108
2	648
3	B

• A. 3888

Answer 1

The correct option is A 3888
For an exponential function, the ratio of consecutive y values must be the same.

Input	Output
0	18
1	108
2	648
3	B

Let X = 18, Y = 108, Z = 648, O = B

$\frac{\text{Y}}{X}=\frac{108}{18}=6$

$\frac{\text{Z}}{Y}=\frac{648}{108}=6$

$\frac{\text{O}}{Z}=\frac{B}{648}=6$

$⟹B=648\times 6=3888$

So, value of B is 3888.