Question 174293: jon plays basketball but recently injured his kneeand had to have surgery.he hopesto be able to bend his knee a full 110 degrees in six weeks so he can play in the playoffs. after one week of physical therapy he can bend his knee at a 50 degree angle, after two weeks he can bend it 65 degrees and after three 78 degrees.will his knee be fully recovered in time for the playoffs?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! he hopes to be able to bend his knee a full 110 degrees in six weeks so he can play in the playoffs. after one week of physical therapy he can bend his knee at a 50 degree angle, after two weeks he can bend it 65 degrees and after three 78 degrees.will his knee be fully recovered in time for the playoffs?
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You have three points: (1,50),(2,65),(3,78)
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Making a regression analysis you might get the
following equation: bend = 14*week + 36 1/3
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bend(6 weeks) = 14*6 + 36 1/3
bend(6) = 120.3333333
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His bend in the 6th week is predicted to be 120 1/3 degrees
He should be fully recovered in time for the playoffs.
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Cheers,
Stan H.
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