You are in charge of a team of scientists studying a new disease caused by Bacteria Q You divided your team into two groups and asked each to model how a population of Bacteria Qgraws with time. The teams derived the equations Q,(e) – 150e00» and Q,(t) – 170eª2", wheretrepresents time in hours and Qrepresents bacterial population.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 32E
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(part a is in the pic)

part b

given the two models, at what time do the teams predict their populations will be the same? what is that population? find the exact answer and an approximation.

part c

you conduct your own study, starting with 200 bacteria, and find that in 10 hours, there are 257 bacteria. which is the teams' modes, if either, is supported by this outcome? explain

Performance Task
Modeling Bacterial Growth
Provide a clear solution to the problem. Be sure to show all of your work,
include all relevant drawings, and justify your answers.
You are in charge of a team of scientists studying a new disease caused by
Bacteria Q. You divided your team into two groups and asked each to model how
a population of Bacteria Qgrows with time. The toams derived the aquations
Q,(e) = 150e and Q,(t) = 170e^0s, where t represents time in hours and
Qrepresents bacterial population.
Part A
Use a graphing calculator to help sketch the functions Q,(t) and Qt) on the grid below.
Describe what the parameters in each equation represent. Which is the more important
parameter? Explain.
Go0
5o0
400
300
200
100
Transcribed Image Text:Performance Task Modeling Bacterial Growth Provide a clear solution to the problem. Be sure to show all of your work, include all relevant drawings, and justify your answers. You are in charge of a team of scientists studying a new disease caused by Bacteria Q. You divided your team into two groups and asked each to model how a population of Bacteria Qgrows with time. The toams derived the aquations Q,(e) = 150e and Q,(t) = 170e^0s, where t represents time in hours and Qrepresents bacterial population. Part A Use a graphing calculator to help sketch the functions Q,(t) and Qt) on the grid below. Describe what the parameters in each equation represent. Which is the more important parameter? Explain. Go0 5o0 400 300 200 100
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