11. BUSINESS The number of items sold at Store 1 can be represented by \( y=200 x+300 \), where \( x \) represents the number of days and \( y \) represents the number of items sold. The number of items sold at Store 2 can be represented by \( y=200 x+100 \), where \( x \) represents the number of days and \( y \) represents the number of items sold. Look at the graph of the system of equations and determine whether it has no solution, one solution, or infinitely many solutions.
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In this scenario, both equations represent straight lines, and when graphed, they will provide insight into the relationship between the two stores. Since both lines have the same slope of 200, they are parallel to one another. However, their y-intercepts differ (300 for Store 1 and 100 for Store 2), which means they will never intersect. Therefore, the system of equations has no solution, as the lines do not meet at any point. To understand this concept further, remember that when two lines are parallel, they indicate that two different situations are progressing at the same rate but starting from different points. This can commonly be applied in business scenarios, where competing stores are frequently increasing sales at the same pace but may have different strategies or starting statistics that affect overall performance. Understanding this can help businesses strategize effectively, recognizing where adjustments might be needed to gain a competitive advantage.