Problem 3-Beetle Population (Linear vs. Exponential Growth): As a biology project, Tasha is studying the growth of a beetlepopulation. She starts her experiment with 5 beetles. One month later, she counts 15 beetles.Assume the beetle population is growing exponentiallyAssume the beetle population is growing linearly..# of months # of beetles# of beetlesComplete the table.1.# of months1. Complete the table.05015151223344What do you see in the table that represents exponential growth inthe beetle population?What do you see in the table that represents linear growth in thebeetle population?2.2.Write an explicit equation to represent the growth in the beetlepopulation as a function of time (in months).Write an explicit equation to represent the growth in the beetlepopulation 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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Asked Sep 13, 2019
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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
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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

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Expert Answer

Step 1

As per norms, the first three questions are answered.  To discuss the case when the growth is linear

Step 2

1) completing the table for linear growth

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Linear growth in one month, growvth=15-5=10 So,the table values are 0-5,115,2->25,3 ->35,4-> 45

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Math

Calculus