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The annual number of passengers going through Hartsfield-Jackson Atlanta International Airport between 2000 and 2008 can be modeled as p(t) = o.102t3 + 1.39t2 3.29:

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The annual number of passengers going through Hartsfield-Jackson Atlanta International Airport between 2000 and 2008 can be modeled as p(t) = o.102t3 + 1.39t2 3.29: + 79.25 where output is measured in million passengers and t is the number of years since 2000.1' (a) Numerically estimate p'(3) to the nearest thousand passengers. 2296000 y passengers per year Interpret the result. A: the end of 2003, the number of passengers going through Hartsfield-Jackson International Airport was y by apprO) 2296000 g per year. (b) Calculate the percentage rate of change ofp at t = 3. (Round your answer to three decimal places.) Interpret the result. (Round your answer to three decimal places.) At the end of 2003. the number of passengers going through Hartsfield-Jackson International Airport was by approximal :l per year- Need Help? _' {0/5 Points] DETAILS PREVIOUS ANSWERS LCALCCONS 2.4.007. MY NOTES ASK YOUR TEACHER ' PRACTICE The time it takes an average athlete to swim 100 meters freestyle at age x years can be modeled as t(x) = 0.181X2 8.463X + 147.376 seconds.'t (a) Numerically estimate to the nearest tenth the rate of change of the time for a 13year-old swimmer to swim 100 meters freestyle. X seconds per year (of age) (b) Determine the percentage rate of change of swim time for a 13year-old. (Round your answer to one decimal place.) 3' % per year (of age) (c) Is a 13year-old swimmer's time improving or getting worse as the swimmer gets older? The rate of change shows that swim time is . The swimmer's time is . Need Help? _

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