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The Function Graphed Is of the Form Y y=asinbx or y=acosbx, where b>0y = a \sin b x \text { or } y = a \cos b x , \text { where } b > 0

Question 272

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The function graphed is of the form y y=asinbx or y=acosbx, where b>0y = a \sin b x \text { or } y = a \cos b x , \text { where } b > 0 Determine the equation of the graph.
-The total sales in dollars of some small businesses fluctuates according to the equation S=A+Bsinπx/6\mathrm { S } = \mathrm { A } + \mathrm { B } \sin \pi \mathrm { x } / 6 , where x\mathrm { x } is the time in months, with x=1\mathrm { x } = 1 corresponding to January, A=7700\mathrm { A } = 7700 , and B=3000B = 3000 . Determine the month with the greatest total sales and give the sales in that month.


A) December; $10,700\$ 10,700
B) June; $7700\$ 7700
C) September; $4700\$ 4700
D) March; $10,700\$ 10,700

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