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Determine the initial population of each town and how long

Town A Town B Town C

P 50t + 1000 P = t² - 20t + 2200 P = 6000 - 20t² +100t

1. Use graphical methods to determine:

a) the initial population of each town

b) how long it will take for the population in each town to reach 2000 people

c) any times when the populations in any towns will be the same (state these populations)

d) the population growth rate for each town after 10 years?

e) any maximum or minimum populations for these towns

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Mathematics: Determine the initial population of each town and how long

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