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7. Salmon Survival For reasons that are not yet fully understood, the number of fingerling salmon that survive the trip from their riverbed spawning grounds to the open ocean varies approximately sinusoidally from year to year. The table shows the number of salmon that hatch in a certain British Columbia creek and then make their way to the Strait of Georgia The data are given in thousands of fingerlings. over a period of 16 years. (a) Make a scatter plot of the data. (b) Find a sine curve that models the data (as in Example 1). (c) Graph the function you found in part (b) together with the scatter plot. (d) Use a graphing calculator to find the sine curve that best fits the data (as in Example 2). Compare to your answer from part (b). Year Salmon (x 1000) Year Salmon (× 1000) 1985 43 1993 56 1986 36 1994 63 1987 27 1995 57 1988 23 1996 50 1989 26 1997 44 1990 33 1998 38 1991 43 1999 30 1992 50 2000 22

7. Salmon Survival For reasons that are not yet fully understood, the number of fingerling salmon that survive the trip from their riverbed spawning grounds to the open ocean varies approximately sinusoidally from year to year. The table shows the number of salmon that hatch in a certain British Columbia creek and then make their way to the Strait of Georgia The data are given in thousands of fingerlings. over a period of 16 years. (a) Make a scatter plot of the data. (b) Find a sine curve that models the data (as in Example 1). (c) Graph the function you found in part (b) together with the scatter plot. (d) Use a graphing calculator to find the sine curve that best fits the data (as in Example 2). Compare to your answer from part (b). Year Salmon (x 1000) Year Salmon (× 1000) 1985 43 1993 56 1986 36 1994 63 1987 27 1995 57 1988 23 1996 50 1989 26 1997 44 1990 33 1998 38 1991 43 1999 30 1992 50 2000 22

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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6. Predator Population When two species interact in a predator/prey relationship, the populations of both species tend to vary in a sinusoidal fashion. (See Discovery Project Predator/Prey Models referenced on page 529). In a certain midwestern county, the main food source for barn owls consists of field mice and other small mammals. The table oiv the population of barn owls in this county every July I over a 12-year period. tion (a) Make a scatter plot of the data. (b) Find a sine curve that models the data (as in Example 1). (c) Graph the function you found in part (b) together with the scatter plot. (d) Use a graphing caleulator to find the sine curve that best fits the data (as in Example 2). Compare to your answer from part (b). 7. Salmon Survival For reasons that are not yet fully understood, the number of fingerling salmon that survive the trip from their riverbed spawning grounds to the open ocean varies approximately sinusoidally from year to year. The table shows the number of salmon that hatch in a certain British Columbia creek and then make their way to the Strait of Georgia. The data are given in thousands of fingerlings. over a period of 16 years. (a) Make a scatter plot of the data. (b) Find a sine curve that models the data (as in Example 1), (c) Graph the function you found in part (b) together with the scatter plot. (d) Use a graphing calculator to find the sine curve that best fits the data (as in Example 2). Compare to your answer from part (b). Year Salmon (x 1000) Year Salmon (x 1000) 1985 43 1993 56 1986 36 1994 63 1987 27 1995 57 1988 23 1996 50 1989 26 1997 44 1990 33 1998 38 1991 43 1999 30 1992 50 2000 22 8. Sunspot Activity Sunspots are relatively "cool" regions on the sun that appear as dark spots when observed through special solar filters. The number of sunspots varies in an 11-year cycle. The table gives the average daily sunspot count for the years 1968–2012. (a) Make a scatter plot of the data. (b) Find a cósine curve that models the data (as in Example 1). (c) Graph the function you found in part (b) together with the scatter plot. (d) Use a graphing calculator to find the sine curve that best fits the data (as in Exam- ple 2). Compare to your answer in part (b). Year Sunspots Year Sunspots Year Sunspots Year Sunspots 1968 106 1980 154 1991 1969 105 1981 145 2002 104 140 1992 1970 104 1982 115 94 2003 63 1993 1971 67 54 1983 66 1994 2004 40 1972 69 1984 45 29 2005 30 1995 1973 38 17 1985 1986 17 1996 2006 15 1974 34 8. 13 1997 2007 1975 15 1987 29 21 2008 3. 1076 1998 12 IORN 64 I00 2009 3.
Transcribed Image Text:6. Predator Population When two species interact in a predator/prey relationship, the populations of both species tend to vary in a sinusoidal fashion. (See Discovery Project Predator/Prey Models referenced on page 529). In a certain midwestern county, the main food source for barn owls consists of field mice and other small mammals. The table oiv the population of barn owls in this county every July I over a 12-year period. tion (a) Make a scatter plot of the data. (b) Find a sine curve that models the data (as in Example 1). (c) Graph the function you found in part (b) together with the scatter plot. (d) Use a graphing caleulator to find the sine curve that best fits the data (as in Example 2). Compare to your answer from part (b). 7. Salmon Survival For reasons that are not yet fully understood, the number of fingerling salmon that survive the trip from their riverbed spawning grounds to the open ocean varies approximately sinusoidally from year to year. The table shows the number of salmon that hatch in a certain British Columbia creek and then make their way to the Strait of Georgia. The data are given in thousands of fingerlings. over a period of 16 years. (a) Make a scatter plot of the data. (b) Find a sine curve that models the data (as in Example 1), (c) Graph the function you found in part (b) together with the scatter plot. (d) Use a graphing calculator to find the sine curve that best fits the data (as in Example 2). Compare to your answer from part (b). Year Salmon (x 1000) Year Salmon (x 1000) 1985 43 1993 56 1986 36 1994 63 1987 27 1995 57 1988 23 1996 50 1989 26 1997 44 1990 33 1998 38 1991 43 1999 30 1992 50 2000 22 8. Sunspot Activity Sunspots are relatively "cool" regions on the sun that appear as dark spots when observed through special solar filters. The number of sunspots varies in an 11-year cycle. The table gives the average daily sunspot count for the years 1968–2012. (a) Make a scatter plot of the data. (b) Find a cósine curve that models the data (as in Example 1). (c) Graph the function you found in part (b) together with the scatter plot. (d) Use a graphing calculator to find the sine curve that best fits the data (as in Exam- ple 2). Compare to your answer in part (b). Year Sunspots Year Sunspots Year Sunspots Year Sunspots 1968 106 1980 154 1991 1969 105 1981 145 2002 104 140 1992 1970 104 1982 115 94 2003 63 1993 1971 67 54 1983 66 1994 2004 40 1972 69 1984 45 29 2005 30 1995 1973 38 17 1985 1986 17 1996 2006 15 1974 34 8. 13 1997 2007 1975 15 1987 29 21 2008 3. 1076 1998 12 IORN 64 I00 2009 3.
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