Given the function f(x)=abx

Question

Identify the base b, if the graph passes through the point (1,6)
and (2,18)
(1 point)
Responses

5
5

2
2

4
4

3
3

Answer 1

The correct answer is 3.

Using the points given (1,6) and (2,18), we can plug these values into the function f(x) = abx:

When x=1, f(1) = ab(1) = 6
6 = ab

When x=2, f(2) = ab(2) = 18
18 = 2ab

Now we divide the second equation by the first to find the base:
18 = 2(ab)
6 = 1(ab)

18/6 = 2(ab) / ab
3 = 2
Therefore, the base 'b' is 3.