Question: I will rate the first best answer so please help thanks! Question 1: Assume that the number of bacteria follows an exponential growth model:P(t)=P0e^(kt). The

I will rate the first best answer so please help thanks!

Question 1: Assume that the number of bacteria follows an exponential growth model:P(t)=P0e^(kt). The count in the bacteria culture was 300 after 10 minutes and 1300 after 35 minutes.

(a) What was the initial size of the culture?

(b) Find the population after 85 minutes.

Question 2: A cell of some bacteria divides into two cells every50minutes. The initial population is4 bacteria

(a) Find the size of the population after t hours

(b) Find the size of the population after 5 hours.

Question 3: A bacteria culture starts with720bacteria and grows at a rate proportional to its size. After6hours there will be4320bacteria.

a) Express the population afterthours as a function oft

(b) What will be the population after9 hours?

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