Your group will develop four different population scenarios for a town. As a group, you will decide on the name of the town and the initial population. You will graph the function for each population scenario and use your model to make some decisions about the population.
[A] Decide on a name of a rural town.
[B] Decide on an initial population, P0, of the town in the year 2010. Choose an initial population between 1000-5000. Use this value of P0 for each of the scenarios
[C] You will investigate four different scenarios of population growth or decline in this town.
- Linear growth
- Growth modeled by a quadratic equation
- Growth modeled by a radical equation
- Population decline modeled by a rational equation
Assume that the amount that your town's population grows each year is fixed {or constant}.
P = 7t2 + P0 where t is the time in years from 2010.
Assume that the amount that your town's population grows each year is fixed {or constant}.
Complete the following chart.
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Year (t)
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Population (P)
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t = 0
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P0 = _______
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-2010
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t = 1
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-2011
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t = 2
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-2012
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t = 3
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-2013
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