A population of blackflies at a lake in northern Ontario can be modeled by a sin function. The population would rise up to 47 million and then eventually fall to 1 million. The population of blackflies takes 6 days to go from a maximum population to its minimum and researchers at the lake documented one of the maximums in population size on the seventh day of analysis.

A) create an equation and graph it

B) determine an equation that describes the population (p) of the black files in millions as a function of time (d)

c) how many black files will there be on the 15th day?

d) for the first two weeks, when will the population be greater than 4 million?