A colony of yeast cells grows exponen- tially with time; that is, the number of cells...

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A colony of yeast cells grows exponen- tially with time; that is, the number of cells N(t) increases with time t, measured in hours, according to the formula N(t) = Noet Where No and r are constants that you wish to determine. (a) Suppose you measure the following data for the population size at t= 0 and t = 2: t 0 1 N(t) 2000 4000 MEN Calculate the values of No and r that fit the mathematical model to this formula. (b) When, according to your model, will the population size reach 10,000 cells? (c) You realize that your cell counter is accurate only to 10%, meaning that if you count 2000 cells, the real population size is somewhere between 2000 - 10% = 1800 and 2000 + 10% = 2200. Calculate the maximum and minimum values of r that are consistent with your measurements. A colony of yeast cells grows exponen- tially with time; that is, the number of cells N(t) increases with time t, measured in hours, according to the formula N(t) = Noet Where No and r are constants that you wish to determine. (a) Suppose you measure the following data for the population size at t= 0 and t = 2: t 0 1 N(t) 2000 4000 MEN Calculate the values of No and r that fit the mathematical model to this formula. (b) When, according to your model, will the population size reach 10,000 cells? (c) You realize that your cell counter is accurate only to 10%, meaning that if you count 2000 cells, the real population size is somewhere between 2000 - 10% = 1800 and 2000 + 10% = 2200. Calculate the maximum and minimum values of r that are consistent with your measurements.