3. The population, P, of a small community can be modelled by the equation P =...

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3. The population, P, of a small community can be modelled by the equation P = 12 000(1.036), where t is the time in years after 2012. a. Is the population of this community increasing or decreasing? How do you know? [A2] b. What was the initial population in 2012? [A1] c. What will the population be in 2035? Round to the nearest whole number. [A2] d. What was the population back in 2005? Round to the nearest whole number. Hint: t should be negative [A3] 2 3. The population, P, of a small community can be modelled by the equation P = 12 000(1.036), where t is the time in years after 2012. a. Is the population of this community increasing or decreasing? How do you know? [A2] b. What was the initial population in 2012? [A1] c. What will the population be in 2035? Round to the nearest whole number. [A2] d. What was the population back in 2005? Round to the nearest whole number. Hint: t should be negative [A3] 2