Modeling with Trig - Insect Populations

What is the amplitude of the function?

Tags

CCSS.HSF-IF.C.7E

What is the period of the function?

Recall that in the equation y=Asin(B(x+C))+D,
the period is

 $\frac{2\pi}{B}$  

Tags

CCSS.HSF.TF.A.4

What is the midline of the function?

What is the smallest population, and when does it occur?

What is the population at 6pm on Wednesday?

Remember that t is counted in days, where t=0 is Saturday at midnight.

(Hint: Sunday + Monday + Tuesday + 18/24 hours on Wednesday would be what number of days as a decimal?)

During what time interval(s) did the population exceed 600?

Summary:

Your friend missed class today. How would you explain to them what we learned?

Tags

CCSS.RI. 9-10.2

CCSS.RI.11-12.2

CCSS.RI.8.2

CCSS.RL.11-12.2

CCSS.RL.9-10.2