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

question 272

Multiple Choice

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

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

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