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 152

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 chart represents the amount of fuel consumed by a machine used in manufacturing. The machine is turned on at the beginning of the day, takes a certain amount of time to reach its full power (the point at which it uses the most fuel per hour) , runs for a certain number of hours, and is shut off at the end of the work day. The fuel usage per hour of the machine is represented by a periodic function. What is the period in hours of this function?

• A) Period \(= 4\) hours
• B) Period \(= 14\) hours
• C) Period \(= 7\) hours
• D) Period \(= 125\) hours

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Definitions:

Account

A record summarizing all the transactions pertaining to a particular item in the financial statements.

Annual Rate

The interest rate stated on a yearly basis, often used in the context of savings accounts, loans, or investments to represent the yearly cost or return.

Return

The fiscal upwards or downwards movement in the value of an investment over a defined period, portrayed as a percentage of the investment’s beginning expense.

Investment

The allocation of resources, usually money, in order to gain profitable returns as interest, income, or appreciation in value.