4. Rapid hamster growing population has been posing an issue to Hamsterville. It just takes a few months for the hamster population to multiply. Researchers have found the hamster's population data as shown below: Year Population (in 100's) 01/11/2020 583 01/02/2021 803 01/05/2021 1218 01/08/2021 1767 01/11/2021 2433 Solve this problem purely by using Desmos. Include screenshots with clear labelling and explanations for your step marks and a conclusion statement (.".) to indicate your final result. Copy (a) Use Desmos to (i) construct a scatter plot of the data. Let t = 0 be the initial time starting in 01/11/2020, where is measured in months, and let H(t) be the hamster population, in hundreds (ii) Then, model the data using the exponential function. Round the parameters of your initial population and the growth factor, b, to three decimal places. Use Desmos to help you perform an exponential regression. (b) What is the projected hamster population on Aug 1st, 2022? (c) Assuming that the hamster in Hamsterville continues with this rate of growth, in what year and which month will the population reach 3 million hamsters?
4. Rapid hamster growing population has been posing an issue to Hamsterville. It just takes a few months for the hamster population to multiply. Researchers have found the hamster's population data as shown below: Year Population (in 100's) 01/11/2020 583 01/02/2021 803 01/05/2021 1218 01/08/2021 1767 01/11/2021 2433 Solve this problem purely by using Desmos. Include screenshots with clear labelling and explanations for your step marks and a conclusion statement (.".) to indicate your final result. Copy (a) Use Desmos to (i) construct a scatter plot of the data. Let t = 0 be the initial time starting in 01/11/2020, where is measured in months, and let H(t) be the hamster population, in hundreds (ii) Then, model the data using the exponential function. Round the parameters of your initial population and the growth factor, b, to three decimal places. Use Desmos to help you perform an exponential regression. (b) What is the projected hamster population on Aug 1st, 2022? (c) Assuming that the hamster in Hamsterville continues with this rate of growth, in what year and which month will the population reach 3 million hamsters?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
2
Transcribed Image Text:4. Rapid hamster growing population has been posing an issue to Hamsterville. It just takes a
few months for the hamster population to multiply. Researchers have found the hamster's
population data as shown below:
Year
Population (in 100's)
01/11/2020
583
01/02/2021
803
01/05/2021
1218
01/08/2021
1767
01/11/2021
2433
Solve this problem purely by using Desmos. Include screenshots with clear labelling and
explanations for your step marks and a conclusion statement (.".) to indicate your final result.
Сopy
(a) Use Desmos to
(i) construct a scatter plot of the data. Let t = 0 be the initial time starting in 01/11/2020, where
is measured in months, and let H(t) be the hamster population, in hundreds
(ii) Then, model the data using the exponential function. Round the parameters of your initial
population and the growth factor, b, to three decimal places.
Use Desmos to help you perform an exponential regression.
|2A
(b) What is the projected hamster population on Aug 1st, 2022?
/1A
(c) Assuming that the hamster in Hamsterville continues with this rate of growth, in what year
and which month will the population reach 3 million hamsters?
/2A
RC
(d) Based on your model, evaluate A-A), vWhat do you think this expression means? And
/2A
7-4
what does your final result mean in the context of this scenario?
(e) Proper “:. statements" written that accurately concludes the final result for each of the
questions asked (with correct units)
14C
KB
Insert your work for Question 4 here:
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