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Mathematics & Economics
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Two-Variable Inequalities (Coursework Sample)

Solve problem 68 on page 539 of Elementary and Intermediate Algebra, and make sure to study the given graph. For the purposes of the assignment, it would be helpful to copy the graph onto your own scratch paper. 68. Shipping restrictions. The accompanying graph shows all of the possibilities for the number of refrigerators and the number of TVs that will fit into an 18-wheeler. a) Write an inequality to describe this region. b) Will the truck hold 71 refrigerators and 118 TVs? c) Will the truck hold 51 refrigerators and 176 TVs? the line-graph for this will be added as an attachment. Write a two to three page paper that is formatted in APA style and according to the Math Writing Guide. Format your math work as shown in the example and be concise in your reasoning. In the body of your essay, please make sure to include: An answer to the three questions asked about given real-world situation. An application of the given situation to the following two scenarios: The Burbank Buy More store is going to make an order which will include at most 60 refrigerators. What is the maximum number of TVs which could also be delivered on the same 18-wheeler? Describe the restrictions this would add to the existing graph. The next day, the Burbank Buy More decides they will have a television sale so they change their order to include at least 200 TVs. What is the maximum number of refrigerators which could also be delivered in the same truck? Describe the restrictions this would add to the original graph. An incorporation of the following math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing your math work.): Solid line Dashed line Parallel Linear inequality Test point The paper must be at least two pages in length and formatted according to APA style. Cite your resources in text and on the reference page source..
Two-Variable Inequalities Name Course Professor Date Shipping restrictions line Graph The above line-graph shows the respective number of television sets and refrigerators that would fit in an eighteen wheeler truck. If the truck is loaded only with television sets, it can carry up to 330 units. On the other hand, if the truck is loaded with refrigerators only, it can carry up to 110 units. The light blue shaded area under the solid line curve shows the possible set combinations of television sets and refrigerators that a truck can carry. This shaded region can be expressed in form of a linear inequality equation. This is done through mathematical calculations. First is to obtain the gradient of the straight line. This is the slope of the line graph which is described as the change in the y-axis divided by the change in the x-axis. ∆ in y-axis∆ in x-axis = Gradient The table below shows the values of x and y used to draw the line graph. X- Axis representing the refrigerators while the y-axis represents the TV`s. X 110 0 Y 0 330 The gradient is calculated as follows, 110-00-330=110-330=-13=Gradient, The Equation of the line is give by: 110-x0-y=-13 , 330-3x=y, Equation of the line: y=-3x+330, Therefore the Inequality equation representing the shaded area is as follows: y≤-3x+330 b) Can 71 refrigerators and 118 TV`s be ferried in one truck?...
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