Consider this scenario: A town has an initial population of 75,000. It grows at

Question

Consider this scenario: A town has an initial population of 75,000. It grows at a constant rate of 1,000 per year for 9 years. Find the linear function that models the town's population P as a function of the year, t, where t is the number of years since the model began. Find a reasonable domain for the function P. 0 lessthanorequalto P lessthanorequalto 84,000 0 lessthanorequalto t lessthanorequalto 9 75,000 lessthanorequalto t lessthanorequalto 84,000 75,000 lessthanorequalto P lessthanorequalto 84,000 0 lessthanorequalto P lessthanorequalto 9 Find a reasonable range for the function P. 0 lessthanorequalto P lessthanorequalto 84,000 0 lessthanorequalto t lessthanorequalto 0 75.000 lessthanorequalto t lessthanorequalto 84,000 75.000 lessthanorequalto P lessthanorequalto 84,000 0 lessthanorequalto P lessthanorequalto 9

Explanation / Answer

intial population Po = 75000

In 9 years population would be, P(t) = 75000 + 9*1000 = 84000

Domain for P(t) : 0<= t < = 9

Range for P (t) : 75000< = P <= 84000

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