Problem 3-Beetle Population (Linear vs. Exponential Growth): As a biology project, Tasha is studying the growth of a beetle population. She starts her experiment with 5 beetles. One month later, she counts 15 beetles. Assume the beetle population is growing exponentially Assume the beetle population is growing linearly.. # of months # of beetles # of beetles Complete the table. 1. # of months 1. Complete the table. 0 5 0 15 15 1 2 2 3 3 4 4 What do you see in the table that represents exponential growth in the beetle population? What do you see in the table that represents linear growth in the beetle population? 2. 2. Write an explicit equation to represent the growth in the beetle population as a function of time (in months). Write an explicit equation to represent the growth in the beetle population as a function of time (in months). 3. 3. How long will it take for the beetle population to reach 200? Explain how you figured this out. How long will it take for the beetle population to reach 200? Explain how you figured this out. 4. 4. Р. 29

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter10: Exponential And Logarithmic Functions
Section10.2: Applications Of Exponential Functions
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Problem 3-Beetle Population (Linear vs. Exponential Growth): As a biology project, Tasha is studying the growth of a beetle
population. She starts her experiment with 5 beetles. One month later, she counts 15 beetles.
Assume the beetle population is growing exponentially
Assume the beetle population is growing linearly..
# of months # of beetles
# of beetles
Complete the table.
1.
# of months
1. Complete the table.
0
5
0
15
15
1
2
2
3
3
4
4
What do you see in the table that represents exponential growth in
the beetle population?
What do you see in the table that represents linear growth in the
beetle population?
2.
2.
Write an explicit equation to represent the growth in the beetle
population as a function of time (in months).
Write an explicit equation to represent the growth in the beetle
population as a function of time (in months).
3.
3.
How long will it take for the beetle population to reach 200?
Explain how you figured this out.
How long will it take for the beetle population to reach 200?
Explain how you figured this out.
4.
4.
Р. 29
Transcribed Image Text:Problem 3-Beetle Population (Linear vs. Exponential Growth): As a biology project, Tasha is studying the growth of a beetle population. She starts her experiment with 5 beetles. One month later, she counts 15 beetles. Assume the beetle population is growing exponentially Assume the beetle population is growing linearly.. # of months # of beetles # of beetles Complete the table. 1. # of months 1. Complete the table. 0 5 0 15 15 1 2 2 3 3 4 4 What do you see in the table that represents exponential growth in the beetle population? What do you see in the table that represents linear growth in the beetle population? 2. 2. Write an explicit equation to represent the growth in the beetle population as a function of time (in months). Write an explicit equation to represent the growth in the beetle population as a function of time (in months). 3. 3. How long will it take for the beetle population to reach 200? Explain how you figured this out. How long will it take for the beetle population to reach 200? Explain how you figured this out. 4. 4. Р. 29
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