According to the US Census Bureau, the population of the US in the year 2000 was

Question

According to the US Census Bureau, the population of the US in the year 2000 was 281,421,906 people. In the year 2008, it was 304,059,724 people. The population was growing at an approximately constant rate during this period. Use this information to express the US population as a function of time since the year 2000. What would this model indicate that the US population was in the year 2005? (The actual population in that year was 296,507,061.)

Explanation / Answer

Dear Student Thank you for using Chegg !! Given US population in the year 2000, P(2000) = 28,14,21,906.00 US population in the year 2008, P (2008) = 30,40,59,724.00 Also it is given that population increases at a constant rate Therefore population at any time t (after 2000) can be given by P (2000 + t) = P (2000) + Bt where B is a constat When t = 8 P (2008) = 281421906 + 8B                                                  30,40,59,724.00 = 281421906 + 8B                                                    2,26,37,818.00 = 8B B =         28,29,727.25 => equation is P (2000 + t) = 281421906 + 2829727.25t Now population of 2005 is P (2005) = 29,55,70,542.25 or 295570543 (Approx) Solution

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