The growth rate of the population P of Horry county in South Carolina from 1970 through 2013 can be modeled by dP = 145.52t + 2002.3 dt where t is the time in years, with t = 0 corresponding to 1970. The county’s population was 289,650 in 2013. (Source: U.S. Census Bureau) (a) Find the model for Horry County’s population. (b) Use the model to predict the population in 2021. Does your answer seem reasonable? Explain your reasoning.
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The growth rate of the population P of Horry county in South Carolina from 1970 through 2013 can be modeled by
dP = 145.52t + 2002.3 dt
where t is the time in years, with t = 0 corresponding to 1970. The county’s population was 289,650 in 2013. (Source: U.S. Census Bureau)
(a) Find the model for Horry County’s population.
(b) Use the model to predict the population in 2021. Does your answer seem reasonable? Explain your reasoning.
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