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11.4: Logistic Growth.

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Presentation on theme: "11.4: Logistic Growth."— Presentation transcript:

1 11.4: Logistic Growth

2 Kyani was a distribution company that recruited people to sell their products and make money. It was huge for a while and then died down. This is how many of these companies go through cities. The same this growth patterns are seen in many situations; population, rumors, etc.

3 M = Maximum Amount (Carrying Capacity)
P = Population (that knows) C & k = constants (you must find these) t = time

4 The city of El Paso has 683,000 people
The city of El Paso has 683,000 people. A group of 1366 people in El Paso began to recruit for Kyani. After 12 months 102,450 people knew about them. Write a differential equation and solve it. Calculate how many people will know about Kyani after 2 years.

5 The city of El Paso has introduced a new company Kyani
The city of El Paso has introduced a new company Kyani. They recruited 0.2% of the population to advertise for them. After 12 months 15% of the population people knew about Kyani. Write a differential equation and solve it. Calculate how many people will know about Kyani after 2 years.

6 Find when there was the fastest rate of growth of Kyani acknowledgment occurring.
Was Kyani growing faster at 15 or 20 months?


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