Question

1. Find a possible formula for the trigonometric function whose values are in the following table.

X 0 2 4 6 8 10 12

Y 5 1 -3 1 5 1 -3

y=?

2. A population of rabbits oscillates 15 above and below an average of 128 during the year, hitting the lowest value in January (t = 0). Find an equation for the population, P, in terms of the months since January, t.

P(t) =   

What if the lowest value of the rabbit population occurred in April instead?

P(t)) =   

3. Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the high temperature of 59 degrees occurs at 4 PM and the average temperature for the day is 50 degrees. Find the temperature, to the nearest degree, at 8 AM

Degrees:

4. Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature varies between 32 and 68 degrees during the day and the average daily temperature first occurs at 10 AM. How many hours after midnight, to two decimal places, does the temperature first reach 45 degrees?

Hours:

Answer 1