Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. What is the equation of the exponential graph shown?

An exponential function is one where

Y=a•b^x

Pick the coordinate point (2,25)

25 = a•b^2

Pick another coordinate point (0,100)

100= a•b^0

This means a = 100 as b^0 = 1

Therefore plug a = 100 into the first equation to get:

25 = 100•b^2

1/4=b^2

Square root both sides

- or + 1/2 = b

Since the y coordinate is positive the value for b is positive as a is positive.

Therefore final equation is

y= 100 • 0.5^x