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

bhoopendrasisodiya34 bhoopendrasisodiya34 · Answer 2 · 2022-04-06T08:50:11+02:00

The equation of the exponential graph shown over the x-y coordinate is y=100.(1/2)x.

What is the equation of the exponential graph?

The equation of the exponential graph represent the exponential function with the initial value and common ratio.The equation of the exponential graph is given as,

[tex]y=ab^x[/tex]

Here, (a) is the initial value and (b) is the common ratio.

In the graph given in the problem, the initial value is 100 where the value of x is zero, such as,

[tex]x=0; y=100[/tex]

Put these values in the above equation.

[tex]100=ab^0\\100=a\times1\\100=a[/tex]

Now, when the value of x is 2 in the graph, the value of y is 25. Put these values again in the equation.

[tex]25=(100)b^2\\b=\sqrt{\dfrac{25}{100}}\\b=\sqrt{\dfrac{1}{4}}\\b=\dfrac{1}{2}[/tex]

The value of b is 2 and a is 100. Thus, the equation of the exponential graph shown over the x-y coordinate is y=100.(1/2)x.

[tex]y=100\times(\dfrac{1}{2})^x[/tex]

Learn more about the equation of the exponential graph here;

https://brainly.com/question/25309538