Solve the Problem $\left( { } ^ { \circ } \mathrm { F } \right)$

question 1

Multiple Choice

Solve the problem.
-Suppose that the average monthly low temperatures for a small town are shown in the table.
\begin{tabular} { l | l l l l l l l l l l l l }
Month & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 \\
\hline Temperature $\left( { } ^ { \circ } \mathrm { F } \right)$ & 19 & 27 & 38 & 45 & 57 & 62 & 65 & 58 & 51 & 41 & 33 & 25
\end{tabular}
Model this data using $f ( x ) = a \sin ( b ( x - c ) ) + d$ . Use the sine regression feature to do this. Approximate all values to one decimal place.

• A) \(f ( x ) = 22.5 \sin ( 0.5 ( x + 1.6 ) ) + 40.7\)
• B) \(f ( x ) = 25.7 \sin ( 0.5 ( x + 1.6 ) ) + 32.5\)
• C) \(f ( x ) = 22.5 \sin ( 0.5 ( x + 3.2 ) ) + 40.7\)
• D) \(f ( x ) = 22.5 \sin ( 1.25 ( x + 1.6 ) ) + 40.7\)

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Definitions:

Demote

In computing, often used to refer to lowering the rank or level of a piece of data or a thread in a hierarchy.

List Item

A single entry or element within a list, which could be part of an ordered (numbered) or unordered (bulleted) list.

Lower Level

A term referring to items, operations, or components that are considered to be at a more basic or foundational tier within a hierarchy.

Calculation

The process of determining a result through mathematical or logical operations, often automated in software applications.