Question

1. A population of rabbits oscillates 21 above and below an average of 103 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)=

2. A Ferris wheel is 45 meters in diameter and boarded from a platform that is 4 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 10 minutes. How many minutes of the ride are spent higher than 39 meters above the ground?

P(t) =

Answer 1