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Jackie has two summer jobs. She works as a tutor, which pays $12 per hour, and she works as a lifeguard, which pays $9.50 per hour. She can work no more than 20 hours per week, but she wants to earn at least $220 per week. Which of the following systems of inequalities represents this situation in terms of x and y, where x is the number of hours she tutors and y is the number of hours she works as a lifeguard?
  • a)
    12x + 9.5y < 220
    x + y > 20
  • b)
    12x + 9.5y < 220
    x + y < 20
  • c)
    12x + 9.5y > 220
    x + y < 20
  • d)
    12x + 9.5y > 220
    x + y > 20
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Jackie has two summer jobs. She works as a tutor, which pays $12 per h...
If Jackie works x hours as a tutor, which pays $12 per hour, she earns 12x dollars. If Jackie works y hours as a lifeguard, which pays $9.50 per hour, she earns 9.5y dollars. Thus the total, in dollars, Jackie earns in a week that she works x hours as a tutor and y hours as a lifeguard is 12x + 9.5y. Therefore, the condition that Jackie wants to earn at least $220 is represented by the inequality 12x + 9.5y ≥ 220. The condition that Jackie can work no more than 20 hours per week is represented by the inequality x + y ≤ 20. These two inequalities form the system shown in choice C.
Choice A is incorrect. This system represents the conditions that Jackie earns no more than $220 and works at least 20 hours. Choice B is incorrect. The first inequality in this system represents the condition that Jackie earns no more than $220. Choice D is incorrect. The second inequality in this system represents the condition that Jackie works at least 20 hours.
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Jackie has two summer jobs. She works as a tutor, which pays $12 per h...
Understanding the Situation:
Jackie has two summer jobs - tutoring and lifeguarding. She earns $12 per hour for tutoring and $9.50 per hour for lifeguarding. She can work a maximum of 20 hours per week and wants to earn at least $220 per week.

Setting up the Inequalities:
Let x be the number of hours Jackie tutors and y be the number of hours she works as a lifeguard.
- Jackie earns $12 per hour tutoring, so the earnings from tutoring would be 12x.
- Jackie earns $9.50 per hour lifeguarding, so the earnings from lifeguarding would be 9.5y.
- The total earnings per week should be at least $220, so we have the inequality: 12x + 9.5y ≥ 220.
- Jackie can work a maximum of 20 hours per week, so we have the inequality: x + y ≤ 20.
Therefore, the system of inequalities that represents this situation in terms of x and y is:
12x + 9.5y ≥ 220
x + y ≤ 20

Conclusion:
Option 'C' is the correct representation of the system of inequalities for Jackie's situation, where she wants to earn at least $220 per week while working a maximum of 20 hours.
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Jackie has two summer jobs. She works as a tutor, which pays $12 per hour, and she works as a lifeguard, which pays $9.50 per hour. She can work no more than 20 hours per week, but she wants to earn at least $220 per week. Which of the following systems of inequalities represents this situation in terms of x and y, where x is the number of hours she tutors and y is the number of hours she works as a lifeguard?a)12x + 9.5y < 220x + y > 20b)12x + 9.5y < 220x + y < 20c)12x + 9.5y > 220x + y < 20d)12x + 9.5y > 220x + y > 20Correct answer is option 'C'. Can you explain this answer?
Question Description
Jackie has two summer jobs. She works as a tutor, which pays $12 per hour, and she works as a lifeguard, which pays $9.50 per hour. She can work no more than 20 hours per week, but she wants to earn at least $220 per week. Which of the following systems of inequalities represents this situation in terms of x and y, where x is the number of hours she tutors and y is the number of hours she works as a lifeguard?a)12x + 9.5y < 220x + y > 20b)12x + 9.5y < 220x + y < 20c)12x + 9.5y > 220x + y < 20d)12x + 9.5y > 220x + y > 20Correct answer is option 'C'. Can you explain this answer? for SAT 2025 is part of SAT preparation. The Question and answers have been prepared according to the SAT exam syllabus. Information about Jackie has two summer jobs. She works as a tutor, which pays $12 per hour, and she works as a lifeguard, which pays $9.50 per hour. She can work no more than 20 hours per week, but she wants to earn at least $220 per week. Which of the following systems of inequalities represents this situation in terms of x and y, where x is the number of hours she tutors and y is the number of hours she works as a lifeguard?a)12x + 9.5y < 220x + y > 20b)12x + 9.5y < 220x + y < 20c)12x + 9.5y > 220x + y < 20d)12x + 9.5y > 220x + y > 20Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Jackie has two summer jobs. She works as a tutor, which pays $12 per hour, and she works as a lifeguard, which pays $9.50 per hour. She can work no more than 20 hours per week, but she wants to earn at least $220 per week. Which of the following systems of inequalities represents this situation in terms of x and y, where x is the number of hours she tutors and y is the number of hours she works as a lifeguard?a)12x + 9.5y < 220x + y > 20b)12x + 9.5y < 220x + y < 20c)12x + 9.5y > 220x + y < 20d)12x + 9.5y > 220x + y > 20Correct answer is option 'C'. Can you explain this answer?.
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