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Applying Concepts

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Applying Concepts
Team D
MTH-220
June 30, 2014
Wayne Neidhardt

Applying Concepts
Solve
To solve and graph the equation provided using the system of inequalities formula, one must find the x and y intercepts. Our first equation will be written as 50x+20y+230≤ 1500. First to find our x intercept, we will let y=0. Our equation will be written as 50x+200+230=1500. Next we want to solve for x, by deducting 230 from 1500 and dividing 50 from both side to get x=1270/50. Our x intercept will be 25.4.
To get our y intercept, we will let x=0. Our equation will be written as 500+20y+230=1500. Now we want to solve for y by deducting 230 from 1500 and dividing 20 from both side to get y=1270/20. Our y intercept will be 63.5. Overall our intercepts for the first equation will be (25.4, 0) (0, 63.5) For our next equation, we will be using the same concept to find the x and y intercepts. Our second equation will be written as 30x + 20y ≤ 500. To solve for x, we will let y=0, to get 30x+20(0) =500. Next divide by side by 30 to get x=500/30. Our x intercept will be 16.66 rounded off to get 16.7.
To get our y intercept, we will let x=0 to get 30(0) +20y=500. Divide both side by 20 to get y=500/20. Our y intercept will be 25. Overall our second equation intercepts are (16.7, 0) (0, 25).
Since both of our equations contains a greater than and equal to symbol, our line will be solid. Both of our equation will be shaded to the left because x and y is less than the proceeding number. Our graph is shown below.

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