A welder orders argon gas and pure oxygen. The distributor requires a minimum order of $250. A cubic foot of argon gas costs $0.75 and a cubic foot of pure oxygen costs $0.50. To summarize the situation, the welder writes the inequality: 0.75a + 0.5p ≥ 250, where a is the number of cubic feet of argon gas and p is the number of cubic feet of pure oxygen. Which graph's shaded region shows the possible combinations of argon gas and pure oxygen the welder can buy?
Question
Answer:
0.75a + 0.5p ≥ 250The first thing you should do in this case is to plot the straight line.
Next, you must evaluate ordered pairs of points in the given inequality to verify that the inequality is met.
The set of points that meet the inequality will be given by the shaded region.
Answer
See attached image.
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