A) Find a formula, using the sine function, for your height h above ground after

Question

A) Find a formula, using the sine function, for your height h above ground after tminutes on the ferris wheel. Graph the function to check that it is correct.

A ferris wheel is 48 meters in diameter and boarded in the six o'clock position from a platform that is 4 meters above the ground. The wheel completes one full revolution every 9 minutes. At t = 0 you are in the six o'clock position.

B) A population of animals oscillates between a low of 1082 on January 1 (t = 0) and a high of 2102 on July 1 (t = 6).

(a) Find a formula for the population, P, in terms of the time, t, in months.

(b) Find the amplitude, period, and midline of the function P = f(t).

(d) Use a graph to estimate when P = 1232. (Select all that apply.)

January

February

March

April

May

June

July

August

September

October

November

December

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