Solve the Problem $\mathrm { S } = \mathrm { A } + \mathrm { B } \sin \frac { \pi } { 6 } \mathrm { x }$

question 372

Multiple Choice

Solve the problem.
-The total sales in dollars of some small businesses fluctuates according to the equation $\mathrm { S } = \mathrm { A } + \mathrm { B } \sin \frac { \pi } { 6 } \mathrm { x }$ , where $x$ is the time in months, with $x = 1$ corresponding to January, $A = 8300$ , and $B = 3600$ . Determine the month with the greatest total sales and give the sales in that month.

• A) March; \(\$ 11,900\)
• B) June; \(\$ 8300\)
• C) September; \(\$ 4700\)
• D) December; \(\$ 11,900\)

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Definitions:

Million Years

A period of time equal to one thousand times one thousand years, often used to denote significant periods in Earth's geological and biological history.

Hominoids

A group of primates that includes all apes and humans, characterized by their lack of a tail and more complex brains.

Toumai

A nickname for Sahelanthropus tchadensis, one of the oldest known species in the human lineage, discovered in Chad, Africa dating to about 7 million years ago.

Orrorin

An early hominin genus dating back to about 6 million years ago, speculated to be among the first bipedal primates.