Solve the Problem Above Is the Graph Of $$47.35 \sin x$$

question 18

Essay

Solve the problem.
-The data below represent the average monthly cost of natural gas in an Oregon home. $$\begin{array}{l}\begin{array} { l | c c c c c c } \text { Month } & \text { Aug } & \text { Sep } & \text { Oct } & \text { Nov } & \text { Dec } & \text { Jan } \\\hline \text { Cost } & 18.90 & 24.24 & 44.58 & 68.25 & 91.92 & 109.26\end{array}\\\\\begin{array} { l | c c c c c c } \text { Month } & \text { Feb } & \text { Mar } & \text { Apr } & \text { May } & \text { Jun } & \text { Jul } \\\hline \text { Cost } & 113.60 & 106.26 & 91.92 & 68.25 & 42.58 & 24.24\end{array}\end{array}$$
Above is the graph of $$47.35 \sin x$$ ake a scatter diagram of the data. Find the sinusoidal function of the form $$y = A \sin ( \omega x - \varphi ) + B$$ which fits the data.

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Definitions:

Poly(vinyl Chloride)

A synthetic plastic polymer commonly known as PVC, used in a wide range of products due to its durability and flexibility.

Monomer Structure

The basic building block of a polymer, representing the simplest repeat unit that forms a larger chain through polymerization.

Polymer

Large molecules made up of repeating structural units known as monomers, used in a wide range of materials including plastics, textiles, and natural substances.

Monomer Unit

A small molecule that can bind chemically to other monomers to form a polymer, serving as the basic building block of polymers.