Consider a bacterial species that produces thirteen offspring per day. Assume th

Question

Consider a bacterial species that produces thirteen offspring per day. Assume that you start with one bacterial cell, no cells die, and all cells reproduce at the same rate. Assume 365 days in one year.

Enter the exact answers.

a. Compute the bacterial population size in one year if the cells reproduce only once per day, twice per day, and four times per day.

The bacterial population size in one year if the cells reproduce once a day is Entry field with incorrect answer cells. The bacterial population size in one year if the cells reproduce twice a day is Entry field with incorrect answer cells.

The bacterial population size in one year if the cells reproduce four times a day is

b. Find an expression for the population size in one year if the population reproduces n times per day.

c. Evaluate this expression for larger and larger n and estimate the value it appears to be approaching. The values approach ____ cells

Explanation / Answer

a) 13 * 365 = 4745

Therefore population size if the cell reproduce only once per day = 4745

since a bactrial cell reproduces two times in a day, therfore number of bactries in one day = 13 * 13 + 13 +1 = 183

therefore total population in one year 183 * 365 = 66795

Number of bactries in one day = 1+(13 * 13 * 13 * 13) + (13 * 13 *13) +( 13 * 13) +(13) =1+28561+2197+169+13

                                            =>30941

b)   No. of bacteries reproduces once in a day = 13

   therefore number of bacteries reproduces "n" times in a day = 13n

therefore population size in one year = 13n * 365

                                                       =4745n

c) as "n" increases the number of bacteries tend to infinity

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