Question

98 points!!

Please give me a proper and correct answer.

What is the equation of the exponential graph shown?

_ = _ _ _ ( _ _ _ ) _ _ _ _ _

Picture of graph attached.

Answer 1

What is the equation of the exponential graph shown?

_ = _ _ _ ( _ _ _ ) _ _ _ _ _

1st is easy "y="

graph is exponential decay which has the form y=a*(b^x) where a,b are constants

x=0, y=a*b^0=a=100

so y=100*b^x

x=1. y=100*b=50

b=0.5

ans y=100(0.5)^x

Answer 2

The formula for an exponential equation is y = a * b^x with a and b being a fixed value.

"a" would also be the Y intercept, which is where the graph touches or crosses the Y axis. In the given graph, the curved line touches the Y axis at 100, so the value of a would be 100.

Now we need to find b.

The blue dot at Y 50 is lined up with x = 1, so we can use the point (1,50)

Using the X and Y values we can solve for b:

format: y = a * b^x we replace the letters with the numbers above:

50 = 100 * b^1

b^1 = b so now we have:

50 = 100 *b

Divide both sides by 100 to get b by itself:

b = 50/100, which reduces to 1/2, so b = 1/2

So the equation of the graph becomes y = 100(1/2)^x

You may need to write the 1/2 as 0.5, not sure how you need to enter it.