Number 7 **Predator Population**When two species interact in a predator/prey relationship, their populations often follow a sinusoidal pattern. In a Midwestern county, the barn owl's main food is field mice and other small mammals. The table below presents the barn owl population over 12 years.Tasks:(a) Create a scatter plot of the data.(b) Determine a sine curve that models the data.(c) Graph the function along with the scatter plot.(d) Use a graphing calculator to find the best-fitting sine curve and compare it with part (b).**Salmon Survival**The number of fingerling salmon, surviving their journey to spawning grounds, varies annually in a sinusoidal pattern. The table gives data over 16 years for salmon born in British Columbia and traveling to the Strait of Georgia.Tasks:(a) Create a scatter plot of the data.(b) Determine a sine curve that models the data.(c) Graph the function along with the scatter plot.(d) Use a graphing calculator to find the best-fitting sine curve and compare it with part (b).Data Table for Salmon: - Years: 1985 to 2000- Salmon (x 1000): 46, 61, 73, 63, 72, 58, 64, 42, 36, 47, 56, 66, 57, 49, 44, 30, 22**Sunspot Activity**Sunspots, cooler regions on the sun, vary over an 11-year cycle. The table below shows average daily sunspot counts from 1968 to 2012.Tasks:(a) Create a scatter plot of the data.(b) Determine a cosine curve that models the data.(c) Graph the function along with the scatter plot.(d) Use a graphing calculator to find the best-fitting cosine curve and compare it with part (b).Data Table for Sunspots:- Years: 1968 to 2012 in increments of about 3 to 4 years- Sunspot Counts: 105, 105, 67, 27, 15, 154, 140, 218, 190, 145, 92, 61, 43, 40, 57, 104, 63, 30, 12These activities involve creating models for biological and astronomical data, assisting in understanding natural cycles and variations.

As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost…

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

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

See similar textbooks

Similar questions

Answer number 2
3 + x = 9
Transversals and Angle Measurements P Use the diagram to find all of the missing angles, knowing that a || b Z1 = 42 = 23 = 1= 3 2 54° 12 11 67° 10 7 8 9 4 6 5 a ➜b
(a-5)
24 2 = 4 x-6
V-121
23+23=12
Number 25
d. -27
-5-2 3
17 +C