A researcher is trying to determine the doubling time of a population of the bacterium Giardia lamblia. He starts a culture in a nutrient solution and

fortdefruitI

fortdefruitI

Answered question

2021-05-04

A researcher is trying to determine the doubling time of a population of the bacterium Giardia lamblia. He starts a culture in a nutrient solution and estimates the bacteria count every four hours. His data are shown in the table. Use a graphing calculator to find an exponential curve f(t)=a⋅bt that models the bacteria population t hours later. Time (hours) 04812162024 Bacteria count (CFU/mL)37476378105130173

Answer & Explanation

Nichole Watt

Nichole Watt

Skilled2021-05-05Added 100 answers

Using the given data in a graphing calculator, we determine an exponential curve f(x)=abt that models the data.
The function is f(t)=36.78261.06633t
y1abx1
R2=0.9986
e1 plot
a=36.7826
b=1.06633

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