Yeast is used in bread baking; it has a rapid doubling time of approximately 90 minutes. (note: use the concepts of half-life or doubling time.) (a) find a model for the size of a yeast culture after t hours, given the original size was 1.5 teaspoons. (round all numerical values to three decimal places.)

Explanation:

Thinking process:

Let the number of yeast species be N

the rate of doubling be given by the expression:

The doubling time = 90 mins

Thus, the rate equation will be:

Rearranging gives:

Integrating the two sides gives:

N = KNt + C

or

this is the number of yeast at the time t

at t = 0, there are 1.5, and N = C

after t = 90 mins, the number of teaspoons will be:

N =