Carabid Beetle Population The table shows data from the study of Carabid beetles in...

Carabid Beetle Population The table shows data from the study of Carabid beetles in a region of the Netherlands during the 1960s and 1970s. The output data reports the number of beetles not surviving (the reduction in population) in log (base 10) form; the number of beetles not surviving in a given year is found as n = 10^r beetles.

a. What behavior of a scatter plot of the data indicates that a sine model might be appropriate?

b. Write a sine model for the data in the table.

c. Use function composition to write a model for the number of beetles not surviving in a given year.