Answer:
Period = ![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
The Ferris wheel will complete one round in 40 seconds.
Step-by-step explanation:
We have the function representing the height of the passenger by,
, where t = time in minutes.
It is known that when a function f(x) has period P, then the function a×f(bx+c)+d will have the period
.
Since, the function
has period
, so the function h will have period
i.e.
.
Thus, the period of the given function is
.
Now, as the period is
minutes i.e 40 seconds.
Hence, we get that the Ferris wheel will complete one round in 40 seconds.