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Fish migrate up rivers to reach spawning grounds where they lay their eggs. The number of fish that survive the trip can be modeled using
Fish migrate up rivers to reach spawning grounds where they lay their eggs. The number of fish that survive the trip can be modeled using a sine function when tracking data from year to year. Year Fish (In Thousands) 1997 38 1998 33 1999 27 2000 21 2001 26 2002 37 2003 48 2004 53 2005 54 2006 63 2007 52 2008 48 2009 47 2010 36 2011 28 2012 27 The table above shows the number of fish, in thousands, that survived each year. In your model, let x be the number of years since 1997 and y represent the fish in thousands. a) Use your calculator to plot the data. b) Use your calculator's regression tool to find a sinusoidal function that best fits the data. (Round all values to the nearest tenth. NOTE: Answers will vary based off regression software used.) c) To preserve the fish population, the department of game and fish will suspend fishing if the number of fish that survived the migration falls below 34 thousand. Using the model from part b), will fishing be suspended in the year 2028 ? What is the predicted number of fish to survive that year? (Round your answer to the nearest tenth.) The predicted number of fish to survive is thousand, so fishing Select an answer suspended
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