1.What is the number of full rotations the wheel can make in 2 minutes?Explain your answer.

The graph shown below measures the height, in feet, of a stone stuck in a tire after t seconds. height The vertical distance from the ground, in feet, of a point on a wheel as it rotates is given by D(t) = 6sin(8m)+6 , where t is the time in minutes. The current 1, in amperes, owing through an alternating circuit, at a time oft seconds can be modeled by the equation I = 30 sin (bt). The period of the function is 2% seconds. An electrician is asked to determine the value of b in the equation, and use the equation to determine the current at a time of 12 seconds. 29.9 amperes 29.9 amperes 0.25 amperes 0.25 amperes The table below shows the average temperature in New York City (NYC), measured in degrees Fahrenheit (F), where January is month 1, February is month 2, etc. Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec 38.8 40.5 47.3 56.8 68.4 76.8 80.1 72.7 62.4 53.2 43.0 The data above can be modelled by an equation in the form y = asin (bx +c) +d