Case Study: Population Modeling: Quiz

Problem 1

Assume a type of microorganism inhabiting a pond will reproduce such that after 6 days, an initial population of 50,000 organisms grows to 2.5 trillion.

If the population grows exponentially, give a formula for the population P(t) after t days.

Answers, problem 1

P(t) = 50000 e^kt

We know that p(6) = 2,500,000,000,000 = 50000 e^6k

k = ln(5000)/6 = 1.80329638075

Therefore: P(t) = 50000 e^{1.80329638075 t}

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