Suppose a study is completed that finds that the number of cockroaches in Chandler decreases by 18% every 12 years. In 2020, there were approximately 3.5 million cockroaches in Chandler. 1. Assuming the number of cockroaches is changing exponentially, how many cockroaches do you estimate there will be in 2025 (5 years later)? 2. Demonstrate mathematically why it is not true that the number of cockroaches in Chandler decreases by 9% every 6 years. 3. Determine how long it will take for the number of cockroaches in Chandler to decrease by 50%.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 8RE: Suppose an investment account is opened with aninitial deposit of 10,500 earning 6.25...
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Suppose a study is completed that finds that the
number of cockroaches in Chandler decreases by
18% every 12 years. In 2020, there were
approximately 3.5 million cockroaches in
Chandler.
1. Assuming the number of cockroaches is
changing exponentially, how many
cockroaches do you estimate there will be in
2025 (5 years later)?
2. Demonstrate mathematically why it is not
true that the number of cockroaches in
Chandler decreases by 9% every 6 years.
3. Determine how long it will take for the
number of cockroaches in Chandler to
decrease by 50%.
Show each step of your process as you work
through the problem and explain the purpose of
each step. Be specific!
Transcribed Image Text:Suppose a study is completed that finds that the number of cockroaches in Chandler decreases by 18% every 12 years. In 2020, there were approximately 3.5 million cockroaches in Chandler. 1. Assuming the number of cockroaches is changing exponentially, how many cockroaches do you estimate there will be in 2025 (5 years later)? 2. Demonstrate mathematically why it is not true that the number of cockroaches in Chandler decreases by 9% every 6 years. 3. Determine how long it will take for the number of cockroaches in Chandler to decrease by 50%. Show each step of your process as you work through the problem and explain the purpose of each step. Be specific!
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Step 1

Given the number of cockroaches decrease by 18% every 12 years. We first find an equation using the given data.

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