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DEUEIW
DEUEIW
19.02.2020 • 
Mathematics

A colony of yeast cells is estimated to contain 106 cells at time t = 0.
After collecting experimental data in the lab, you decide that the total population of cells at timet hours is given by the function
y = 106e0.577623t.

(a) How many cells are present after one hour? (Enter your answer using scientific notation. Round the mantissa to three decimal places.)

× 10 cells
(c) Cherie, another member of your lab, looks at your notebook and says: ...that formula is wrong, my calculations predict the formula for the number of yeast cells is given by the function
y = 106(2.300976)0.693147t.

Should you be worried by Cherie's remark? Explain.

(d) Anja, a third member of your lab working with the same yeast cells, took these two measurements:

9.079 × 106 cells

after 4 hours; 29 × 106 cells after6 hours. Should you be worried by Anja's results? Explain.

If Anja's measurements are correct, does your model overestimate or underestimate the number of yeast cells?
It is an underestimate.It is an overestimate.

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