Video Module Simulation
Exponential Models
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The $250,000 Question

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 time t hours is given by the function:

    y = 106e0.495105t .

(a) How many cells are present after one hour?

(b) (True of False) The population of yeast cells will double every 1.4 hours.

(c) Cherie, another member of your lab, looks at your notebook and says: .. that your formula is wrong, since her calculations predict the formula for the number of yeast cells is given by the function:

   y = 106(2.042727)0.693147t .

(d) Anja, a thrid member of yoru lab working with the same yeast cells, took these two measurements: 7.246 x 106cells after 4 hours; 16.504 x 106 cells after 6 hours. Should you be worried by Anja's results? If Anja's measurements are correct, does your model over estimate or under estimate the number of yeast cells at time t?

Clues
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Copyright Pindling@pindling.org 2001

























Clues
 
(a) y(1)
(b) see if y(1.4) = 2(y0)
(c) see if e0.495105 = (2.042727)0.693147
(d) use Anja's 2 points to find an exponential formula and check is similar to yours