Johannes has a budget of $300 to buy replacement team uniforms. He needs 18 pairs of pants and 12 shirts. The inequality 18r+12y
< 300 models the relationship where represents the cost of each pair of pants and
y represents the cost of each shirt
Which graph correctly models the inequality?m
y represents the cost of each shirt
Which graph correctly models the inequality?m
2 answers:
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9514 1404 393
Answer:
2 nickels, 9 dimes
Step-by-step explanation:
When there are a number of overlapping shaded areas on the graph, I find it convenient to use the reverse of the inequalities. That makes the <em>unshaded</em> area the solution space. Here, the vertices of the triangular solution space are ...
(2, 9), (2, 13), (6, 9)
Any of the grid points within (or on) this triangle is a possible solution. One of them is (2, 9) corresponding to 2 nickels and 9 dimes.
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Three solutions are shown:
(x, y) = (2, 9), (3, 10), (4, 11)
