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What is the equation of the exponential graph shown

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An equation is formed of two equal expressions. The equation of the exponential graph is A=100(0.5)ˣ.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The equation of an exponential function is given by the formula,

y = A (B)ˣ

Now as per the graph, there are two points (1, 50) and (2, 25).

50 = A (B)¹

50 = AB

A = 50/B

Substitute another point in the equation,.

25 = A (B)²

25 = (50/B) (B)²

25 = 50B

B = 0.5

Substitute the value of B,

A = 50/0.5 = 100

Hence, the equation of the exponential graph is A=100(0.5)ˣ.

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