Question

The height of a single car on a Ferris wheel is modeled by a sine function. The car completes four whole rotations in a time period of 2π minutes.

Which function rule could model this situation?
f(x)=sin(14x)
f(x)=sin x+2π
f(x)=4sin x
f(x)=sin(4x)

Answer 1

Lets take a look at the graphs and what we are given. So we know that the ferris wheel completes 4 revs in a time period of 2 pi min. What you want to do is to see which sinusoidal function models this example. So if 4 rev are completed in 2pi min. that means that 1 rev is completed in pi/2 min. Look at all the graphs and tell me which one this is.

Answer 2

Since there are 4 rev done in 2pi min, look at the unit circle. Which states that 1 rev is done in 2pi min in the graph of sinx. Since this graph is 4 rev, it will be sin4x

Answer 3

I am the darkknight

Answer 4

Thanks! I knew the answer already, just was checking.