The Possible Combinations of Televisions and Refrigerators That Would Fit Into an 18 Wheeler: An Assignment

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h The graph shown in question demonstrates the possible combinations of televisions and refrigerators that would fit into an 18 wheeler. The maximum number of refrigerators (x) that would fit into the space is 100. The maximum number of televisions (y) that would fit into the space is 300. For each refrigerator that is put into the space, three TVs cannot fit. The slope of the line is -3. The y-intercept for the line is 330. Therefore, the equation for the line initially appears to be is y = -3x + 330. However, there is nothing suggesting that the truck must be full. Therefore, the line represents a linear inequality, in that the total number of televisions that can be put into the space if not determined by the number of refrigerators already in the space, simply maximized by that term. Moreover, the graph is a solid line, rather than a dashed line, because the total number can include the numbers in the equation, but no numbers outside of that range. In order to determine whether the truck can hold a certain combination of refrigerators and televisions, those numbers are used as a test point to determine if that point falls to the left and underneath the equation for the line. If the point falls within this area, which would be shaded in the inequality, then the combination works. If the point is outside of that area, then the combination does not work. Using such a small graph, it can be difficult to determine, visually, whether the point is inside or outside of the

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