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Do these equations represent exponential growth or exponential decay? y=4 ⋅ (1.13)x y=182 ⋅ (0.9)x

Do these equations represent exponential growth or exponential decay? y=4 ⋅ (1.13)x y=182 ⋅ (0.9)x

Intermediate Algebra
Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter10: Exponential And Logarithmic Functions
Section10.5: Solve Exponential And Logarithmic Equations
Problem 355E: What is the difference between the equation for exponential growth versus the equation for...
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Do these equations represent exponential growth or exponential decay?

y=4 ⋅ (1.13)x

y=182 ⋅ (0.9)x

Expert Solution
Step 1

Given, function is y=41.13x.

Find y values for x=1, x=2.

For x=1,

y=41.131=4.52

For x=2,

y=41.132=5.1076

It is clear that as x values increases y values are also increasing.

Therefore, the function y=41.13x represents exponential growth.

 

 

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