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?