Aferris wheel with a radius of 30 feet is rotating at a rate of 2 revolutions per minute at time t=0 a chair on the ferris wheel is at the lowest point which is 10 feet above the ground which of the following models describes the height h in feet of the chair as a function of time t in seconds

The required equation is .

Step-by-step explanation:

The general form of cosine function is

            .... (1)

Where, A is amplitude, is period, -C/B is phase shift and D is midline.

It is given that the radius of a ferris wheel is 30 feet. It is rotating at a rate of 2 revolutions per minute at time t=0 a chair on the ferris wheel is at the lowest point which is 10 feet above the ground.

It means the minimum value is 10 and maximum value is 10+2(30)=70.

Midline of the function is

1 min = 60 seconds

Period of the function is 2.

Phase shift is not given, so C=0.

Substitute , C=0 and D=40 in equation (1).

      .... (2)

It is given that the graph passes through the point (0,10).

The value of A is -30. Substitute A=-30 in equation (2).

Therefore the required equation is .

let m = monomial

let t = trinomial

so, m times t = t.

monomial times a trinomial = another trinomial.