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2 pages/≈550 words
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APA
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Mathematics & Economics
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# Two-Variable Inequalities (Coursework Sample)

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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. âˆ† in y-axisâˆ† 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: yâ‰¤-3x+330 b) Can 71 refrigerators and 118 TV`s be ferried in one truck?...
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