suppose that you want to model the height of a rider on a ferris wheel as a function of time, t, in minutes…

Answer:

D. the sine function reflected about its mid - line

Explanation:

Step1: Recall properties of sine and cosine

The standard cosine function $y = A\cos(Bt - C)+D$ has a maximum value at $t = 0$ when $C = 0$. The standard sine function $y=A\sin(Bt - C)+D$ has a value of $D$ at $t = 0$ when $C = 0$.

Step2: Analyze Ferris - wheel situation

The rider is at the bottom of the Ferris - wheel at $t = 0$. A reflected sine function can start at its minimum value. A non - reflected sine function starts at the mid - line value at $t = 0$, and a non - reflected cosine function starts at its maximum value at $t = 0$. A cosine function reflected about its mid - line starts at the mid - line value at $t = 0$. A sine function reflected about its mid - line starts at its minimum value at $t = 0$, which is suitable for modeling the height of a rider at the bottom of the Ferris - wheel at $t = 0$.