A student is trying to determine the doubling time for a population of the bacterium Giardia lamblia (G. lamblia). He starts a culture in a nutrient solution and counts the bacteria every 4 hours. His data are shown in the table. Time (h) 0 4 8 12 16 20 24 Bacteria count (CFU/mL) 37 47 63 78 105 130 176 (a) Make a scatter plot of the data. (b) Use a calculator to find an exponential curve f(x) = b · ax that models the bacteria population x hours later. (Round your answer to three decimal places.) f(x) = (c) Graph the model from part (b) together with the scatter plot in part (a). Use the feature to determine how long it takes for the bacteria count to double. (Round your answer to one decimal place.)
A student is trying to determine the doubling time for a population of the bacterium Giardia lamblia (G. lamblia). He starts a culture in a nutrient solution and counts the bacteria every 4 hours. His data are shown in the table. Time (h) 0 4 8 12 16 20 24 Bacteria count (CFU/mL) 37 47 63 78 105 130 176 (a) Make a scatter plot of the data. (b) Use a calculator to find an exponential curve f(x) = b · ax that models the bacteria population x hours later. (Round your answer to three decimal places.) f(x) = (c) Graph the model from part (b) together with the scatter plot in part (a). Use the feature to determine how long it takes for the bacteria count to double. (Round your answer to one decimal place.)
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A student is trying to determine the doubling time for a population of the bacterium Giardia lamblia (G. lamblia). He starts a culture in a nutrient solution and counts the bacteria every 4 hours. His data are shown in the table.
| Time (h) | 0 | 4 | 8 | 12 | 16 | 20 | 24 |
|---|---|---|---|---|---|---|---|
| Bacteria count (CFU/mL) | 37 | 47 | 63 | 78 | 105 | 130 | 176 |
(a) Make a scatter plot of the data.
(b) Use a calculator to find an exponential curve
(c) Graph the model from part (b) together with the scatter plot in part (a).
Use the feature to determine how long it takes for the bacteria count to double. (Round your answer to one decimal place.)
h
(b) Use a calculator to find an exponential curve
f(x) = b · ax
that models the bacteria population x hours later. (Round your answer to three decimal places.)f(x) =
(c) Graph the model from part (b) together with the scatter plot in part (a).
Use the feature to determine how long it takes for the bacteria count to double. (Round your answer to one decimal place.)
h
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