Question
Asked Nov 24, 2019
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Find the equation of the exponential function that goes through the points (0,2000) and (2,20).

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Expert Answer

Step 1

Given:

Passing through the points (0,2000) and (2,20)
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Passing through the points (0,2000) and (2,20)

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Step 2

Calculation:

The exponential function is of the form f(x)=a(b)..(1)
Let us take, y a(b)" ...(2)
Substitute (0,2000) in equation (2), we get
2000= a(b)
a 2000, (since (b)" =1)
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The exponential function is of the form f(x)=a(b)..(1) Let us take, y a(b)" ...(2) Substitute (0,2000) in equation (2), we get 2000= a(b) a 2000, (since (b)" =1)

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Step 3
Substitute (2,20) in equation (2), we get
20-a(b)
Substitute the value of a in above equation, we get
2000 (b)20
20
b2
2000
1
b2
100
1
b =
= 0.1
10
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Substitute (2,20) in equation (2), we get 20-a(b) Substitute the value of a in above equation, we get 2000 (b)20 20 b2 2000 1 b2 100 1 b = = 0.1 10

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Math

Algebra