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Attendance at a state park throughout the year is found to be periodic and can be modeled by a sine function. The attendance ranges from a low of approximately 1,000,000 visitors in September to a high of approximately 2,000,000 visitors in March.

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Answer:

Step-by-step explanation:

For a sinusidal function :

y = Asin(w + c) + s

Where ;

A = amplitude ;

w= angular velocity,

s = vertical Displacement,

c = phase angle

A = (maximum - minimum) / 2

A = (2,000,000 - 1,000,000) /2 = 1,000,000/2 = 500,000

w = 2π/T ; T = 12 (number of months in a year)

w = 2π/12 = π/6

s = (maximum + minimum) / 2

s = (1000000 +2000000) /2 = 3,000,000/2 = 1,500,000

500,000sin(π/6 + 0) + 1500000

500000sin(π/6)+1500000

Answer:

Step-by-step explanation:

For a sinusidal function :y = Asin(w + c) + sWhere ; A = amplitude ; w= angular velocity, s = vertical Displacement, c = phase angleA = (maximum - minimum) / 2A = (2,000,000 - 1,000,000) /2 = 1,000,000/2 = 500,000w = 2π/T ; T = 12 (number of months in a year) w = 2π/12 = π/6s = (maximum + minimum) / 2s = (1000000 +2000000) /2 = 3,000,000/2 = 1,500,000500,000sin(π/6 + 0) + 1500000500000sin(π/6)+1500000

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