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:

Midpoint Method

A technique used to calculate elasticity by taking the average of the initial and final quantities and the initial and final values.

Total Revenue

The total income received by a firm from its sales of goods or services, calculated as the unit price times the quantity sold.

Demand Curve

A graphical representation showing the relationship between the price of a good and the quantity demanded by consumers.

Inelastic

A situation in which the demand or supply for a good or service is relatively unresponsive to changes in price.