Question

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.)

Answer 1

Answer:

$N = 90N_{0} + C$

Explanation:

Thinking process:

Let the number of yeast species be N

the rate of doubling be given by the expression: $\frac{dN}{dt}$

The doubling time = 90 mins

Thus, the rate equation will be: $\frac{dN}{dt} = KN$

Rearranging gives:

$dN = KNdt$

Integrating the two sides gives:

$\int\limits^a_b {dN} \, = \int\limits^a_b {KN} \, dt$

N = KNt + C

or

$N= N_{0} t + C$

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 = $90N_{0} + C$

Answer 2

Answer:

Yeast Yeast is used in bread baking; it has a rapid doubling time of approximately 90 minutes. a. Find a model for the size of a yeast culture after t hours, given the original size was 2.5 teaspoons.

Explanation: