Question

(NEED HELP ASAP)

Given the table of values, determine the base for the exponential function. Please explain how you got it!

A.
`(1)/(9)`

B. 9

C.
`(1)/(3)`

D. 3

Answer 1

Pick any value in the y column of the table. I'm going to pick 81. Divide the value you picked by the previous y value, which in my case would be 9

Dividing the values gives: 81/9 = 9

So the base is 9. We multiply each y value by 9 to get the next y value
Eg: to go from 1/81 to 1/9, we multiply by 9. Same for 1/9 to 1, and so on.

Answer: Choice B) 9

Note: This trick only works because x is increasing by 1 each time