P = 100 - 20 cos (8πt/3) That's (8 pi t /3) where t is the time (in seconds). What is the period of the model? Discuss what the period represents in the context of this model.

The period of the model is seconds. The period represents the time needed for the function to complete one cycle.

Step-by-step explanation:

Cosine is a trigonometric function and trigonometric functions are characterized by having a periodical behavior. The period is the time needed for the function to cover an angle of radians. By this approach we find that:

(1)

Where:

- Time, measured in seconds.

- Period, measured in seconds.

Then, we solve (1) for :

The period of the model is seconds. The period represents the time needed for the function to complete one cycle.

452,489 to the nearest thousand is 452,000

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80