Determine a model for each of the following situations 1. A colony of ants triples in size each year. Let the independent variable represent the number of years that have passed.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 8E
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Determine a model for each of the following situations

1. A colony of ants triples in size each year. Let the independent variable represent the number of years that have passed.

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Step 1

Let us assume the number of years passed= t

The population of ant after t years= y(t)

The initial amount of ant= P

 

Given growth factor=3 (because triples)

 

 

 

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