 # 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 2021-05-04 Answered
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
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Using the given data in a graphing calculator, we determine an exponential curve $f\left(x\right)=a\cdot {b}^{t}$ that models the data.
The function is $f\left(t\right)=36.7826\cdot {1.06633}^{t}$
$y1\sim a{b}^{x}1$
${R}^{2}=0.9986$
e1 plot
a=36.7826
b=1.06633