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Find an equation for the line satisfying the given conditions: Sales of a winter coat company increased linearly from $85,423 in 2013 to $323,972 in 2019.

A. y = 23,854x + 85,423
B. y = 12,345x + 85,423
C. y = 34,567x + 85,423
D. y = 45,678x + 85,423

User Hordurh
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1 Answer

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Final answer:

The equation that represents the increase in sales is obtained by calculating the slope, which is the yearly increase in sales, and the y-intercept, which is the initial sales value. We found the slope to be $39,758 per year, with a starting value of $85,423, for the equation y = 39,758x + 85,423. None of the provided options match this equation.

Step-by-step explanation:

To find the equation for the line that represents the increase in sales for the winter coat company, we need to determine the slope (rate of increase) and the y-intercept (starting sales value). The slope is calculated by finding the change in sales over the change in years. The sales increased from $85,423 in 2013 to $323,972 in 2019, which is a difference of $238,549 over 6 years (2019 - 2013).

The slope (m) can be calculated as $238,549 / 6 years = $39,758 per year. The y-intercept (b) is the sales at the starting year, which is $85,423. Thus, the linear equation that models the sales of the company over the years is y = 39,758x + 85,423. None of the options A, B, C, or D match this equation, so we cannot choose any of them as the correct equation.

User Matthew Thomas
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