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Write an inquality for this situation and determined which order pair is a solution to the inequality

Write an inquality for this situation and determined which order pair is a solution-example-1
User Tonatiuh
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1 Answer

3 votes

C

1) Since Kenji has $600 to spend and the classes cost 20x and 15y we can write out the following inequality:


20x+15y\leq600

So now, let's test which point is one possible solution by plugging them and verifying whether it is true or false.


\begin{gathered} (25,20)\rightarrow20(25)+15(20)\leq600\rightarrow800\leq600\:F \\ (10,35)\operatorname{\rightarrow}20(10)+15(35)\leqslant600\operatorname{\rightarrow}725\leqslant600F \\ (10,20)\rightarrow20(10)+15(20)\leq600\Rightarrow500\leq600True! \\ (30,20)\operatorname{\rightarrow}*20(30)+15(20)\leqslant600\operatorname{\Rightarrow}900\leqslant600F \end{gathered}

Algebraically testing we can tell that the ordered pair which is a possible solution is

C) (10,20)

User Kevin Guto
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