The growth rate of escherichia coli, a common bacterium found in the human intestine, is proportional to its size. under ideal laboratory conditions, when this bacterium is grown in a nutrient broth medium, the number of cells in a culture doubles approximately every 15 min. (a) if the initial population is 500, determine the function q(t) that expresses the growth of the number of cells of this bacterium as a function of time t (in minutes).

Explanation:

The growth of Escherichia coli, in ideal conditions as described, follows an exponential curve, that can be aproximated by the following equation:

because we know the doubling time, which is equal to 15 minutes, we can rearrange the equation, to find the constant r:

r=0.0462

Finally we reemplace the values in the equation

answer; /// i believe that the correct answer is (50%);

this is more of a statement than a question. is there answers to go along with this, or is it opinion based?