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5 The following ordered pairs t 1 represent the Olympic year I and 400 meter...

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5 The following ordered pairs t 1 represent the Olympic year I and 400 meter freestyle swimming event 1952 5 20 1956 4 91 1960 4 84 1964 4 72 1968 4 53 1972 4 32 1976 4 16 1980 4 15 1984 4 12 1988 4 06 1992 4 12 1996 4 12 2000 4 10 2004 4 09 2008 4 05 2020 3 57 a Find an appropriate regression model with t 0 corresponding to 1950 b What is the average rate of change from 1952 to 2020 How does this compare to the rate of change of your regression model 3 When a football is punted it goes up into the air reaches a maximum altitude then comes back down When the ball was kicked it was 4 feet above the ground One second later it was 28 feet above the ground Two seconds after it was kicked the football was 20 feet up a Define the variables Independent x b Make a table of values and sketch a graph with appropriate labels c Find the quadratic equation y d Find the coordinates of the vertex Explain its meaning Dependent y e For how long is the football above 20 feet

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