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OpenStax, Intermediate Algebra 2e §3.4 Graph Linear Inequalities in Two Variables · Exercise 42 · Algebra · Inequalities

Graph Linear Inequalities in Two Variables · Exercise 42

Elena needs to earn at least $450 a week during her summer break to pay for college. She works two jobs. One as a swimming instructor that pays $9 an hour and the other as an intern in a genetics lab for $22.50 per hour. How many hours does Elena need to work at each job to earn at least $450 per week?
ⓐ Let x be the number of hours she works teaching swimming and let y be the number of hours she works as an intern. Write an inequality that would model this situation.
ⓑ Graph the inequality.
ⓒ Find three ordered pairs that would be solutions to the inequality. Then, explain what that means for Elena.

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OpenStax, Intermediate Algebra 2e · §3.4 Graph Linear Inequalities in Two Variables · Exercise 42

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