cat622
Answered

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Pls help!!!

Write an exponential equation for the graph shown
below.
Explain how you determined the equation.


Pls Help Write An Exponential Equation For The Graph Shown Below Explain How You Determined The Equation class=

Sagot :

The exponential equation of the graph is y = 1.59 * 1.26^x

How to determine the exponential equation?

On the graph, we have the following points

(x,y) = (2,1) and (4,4)

An exponential function is represented as;

y = ab^x

So, we have:

ab^1 = 2 and ab^4 = 4

Divide both equations

b^3 = 2

Take the cube root of both sides

b = 1.26

Substitute b = 1.26 in ab^1 = 2

1.26a = 2

Divide both sides by 1.26

a = 1.59

So, we have:

y = ab^x

y = 1.59 * 1.26^x

Hence, the exponential equation of the graph is y = 1.59 * 1.26^x

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