Answer:
0.5x + y ≤ 5 would be the the inequality and the graph is shown in attached figure.
Step-by-step explanation:
- Tom's parents allow him to spend at most $5. AT MOST means ≤ 5
- Let a box containing 6 colored pencils costs $0.50 be denoted by x. So, the expression for this portion would be 0.5x.
- Let one with 12 pencils costs $1.00 be denoted by y. So, the expression for this portion would be y.
The overall inequality for this problem would become:
0.5x + y ≤ 5
The corresponding inequality can be solved as:
0.5x + y ≤ 5
0.5x ≤ −y + 5
Divide both sides by 0.5.
x ≤ −2y + 10
The graph that describes the situation is attached in figure. Please check the attached figure.
Keywords: inequality, graph solution
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