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?
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
Problem 6E: Urban Travel Times Population of cities and driving times are related, as shown in the accompanying...
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