Question

The height h (in feet) above ground of a seat on a Ferris wheel at time t (in seconds) is modeled by (see image below)

Answer 1

a. period of the model is 30 seconds

the wheel takes 30 seconds to revolve once

Explanation:

period can be defined as 2pi/b

y = a sin (bx - c) + d

2pi/b

in this case, b would be 1/15pi or pi/15

so

2pi / (pi/15) =

(2pi x 15) / pi = period

30pi/pi = 30

period = 30 seconds