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Mat 222 week 2 paper

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Two Variable Inequalities Kristine Heckman MAT 222 Intermediate Algebra Instructor Leah Murray November 4, 2013 TWO VARIABLE INEQUALITIES For this assignment, I am going to work with two-variable inequalities and demonstrate the practical application of these inequalities. I am going to use a graph that shows the number of TV’s on the left side and the number of refrigerators on the bottom. Of course this would mean that my x axis is the bottom, and my y axis on the left. The line shows the combination of TV’s and refrigerators that the truck can hold. The problem I am going to work on is #68 on page 539 . The 18 wheeler truck can hold 330 TV’s with no refrigerators, or 110 …show more content…

331 ≤ 330 Although it is very close, this combination of TV’s and refrigerators will not fit in the truck. Therefore, the statement is false. My second question asks if the truck will hold 51 refrigerators and 176 TV’s. Will the coordinates (51,176) fall into the shaded region of our graph? I will work this test point just as the last. 329 ≤ 330 This will be a tight fit, but all of the cargo will be able to make it onto the truck. Now I have to figure out a minimum or maximum allowance of cargo to be found. The Burbank Buy More is going to make an order which will include, at most, 60 refrigerators. What is the maximum number of TV’s that could also be delivered on the same truck? To find the answer, I will plug 60 into the x place of my inequality and solve for y. Is my inequality replace x with 60 multiply, then subtract 180 from both sides This is the maximum amount of TV’s that can be shipped with the refrigerators. For the second scenario, the Burbank Buy More decides to have a television sale so they change their order to include at least 200 TV’s. I need to figure out the maximum number of refrigerators that can be shipped in the same truck. I start with the same inequality. Replace y with 200 and solve for x Subtract 200 from each side Now I divide both sides by 3 This means that no more than 43 refrigerators can be shipped with the

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