Two Variable Inequalities Essay

690 WordsAug 29, 20133 Pages
Two Variable Inequalities Melissa Hillard MAT222: Intermediate Algebra (GSQ1331C) Instructor Lisa Wallace August 10, 2013 Two Variable Inequalities For this assignment the class was asked to solve problem 68 from page 539 of our textbook Elementary and intermediate algebra (Dugopolski, 2012). Problem 68 tells the number of refrigerators and TV’s that will fit inside of an 18 wheeler truck. The class is asked to write an inequality to describe the region of the graph that is shaded in based upon these numbers. The class is then asked to solve a combination of problems to determine how many refrigerators and TV the 18 wheeler can hold at one time. The graph shows the number of possibilities for the number of TV’s and…show more content…
X=51 y=176 My test points are (51, 176). 3(51)+176≤330 153+176≤330 329≤330 This is true. The truck could hold 51 refrigerators and 176 TVs. With the graph points at y=176 and x=51 the shaded area would be within the original graph line. The next thing that I need to do is to solve for the two following 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”. 3(60)+y≤330 180+y≤330 330-180=150 Y=150 The maximum number of TVs that could be delivered on the same truck is 150. “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”. 3x+200≤330 330-200=130 X=130 The maximum number of refrigerators that could be delivered is 130. By finding my slope intercept I was able to solve the problems for this paper. After writing an inequality I was able to solve a combination of problems to determine how many refrigerators and TV the 18 wheeler can hold at one time. References: Dugopolski, M. (2012). Elementary and intermediate algebra (4th ed.). New York,
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