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The trend line of annual sales of a company is given as Y = 30 + 3.6 X Where Y = annual total sales and…

When \(Y\) represents annual total sales and \(X\) is measured in years, converting the dependent variable from annual sales to monthly sales divides the equation by 12, and…

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The trend line of annual sales of a company is given as
Y = 30 + 3.6 X
Where Y = annual total sales and 1X = 1 year.
Convert the equation to a monthly basis (monthly sales and X in months) and find the monthly increase rate in sales.

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Answer and explanation

Correct answer C

When YY represents annual total sales and XX is measured in years, converting the dependent variable from annual sales to monthly sales divides the equation by 12, and changing the time unit XX from 1 year to 1 month divides the slope by 12 again. Thus, the monthly rate of increase (slope) is 3.612×12=3.6144=0.025\frac{3.6}{12 \times 12} = \frac{3.6}{144} = 0.025.

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