b. below shows number of yeast cells in a petri dish as a function of time and t

Question

b. below shows number of yeast cells in a petri dish as a function of time and the line y The graph = 676. 700 600 500 8 400 300 200 100 0 2 46 8 10 12 14 16 18 Hours a. What is the carrying capacity of the dish? Pretend you are a baker who wishes to harvest the cells and use them in bread. It's important that you get the maximum sustainable yield. At what number of cells should you begin your harvest? Explain your answer in terms of rate of change. b. general formula for this sort of function is N writing an equation for this graph? What does K equal if we were

Explanation / Answer

Ans(a):
we see that graph doesn't cross the horizontal asymptote y=676
so the carrying capacity of the dish will be 676.

Ans(b):
Maximum sustainable yield from the graph is 676. Which starts aroun 18 hours. At the poit tangent line is parallel that is rate of change is almost 0. So you can begin harvest with 676 cells.

Ans(c):
value of K must be equal to 676 to get this type of graph.
Hence answer is K=676

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