The equation of the exponential graph is y = 100(0.5)^x
How to determine the exponential equation?
On the graph, we have the following points
(x,y) = (0,100) and (1,50)
An exponential equation is represented as:
y = ab^x
Where a = y, when x = 0.
This means that
a = 100
So, we have:
y = 100b^x
At the point (1,50), we have:
50 = 100b^1
Evaluate
50 = 100b
Divide both sides by 100
b = 0.5
Substitute b = 0.5 in y = 100b^x
y = 100(0.5)^x
Hence, the equation of the exponential graph is y = 100(0.5)^x
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