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Esther wants to spend no more than $60 buying gifts for her friends Barb and Wanda. She wants to spend at least $20 on Wanda's gift.
-Solve the system of linear inequalities.

Question

Quizplus · Accepted Answer

Let x be the amount of money Esther spends on Barb's gift. Then, the system of linear inequalities is:
x + y ≤ 60 (Esther wants to spend no more than $60 in total)
y ≥ 20 (Esther wants to spend at least $20 on Wanda's gift)
where y represents the amount of money Esther spends on Wanda's gift. To graph this system, we first graph the boundary lines: x + y = 60 and y = 20. The region that satisfies both inequalities is the shaded region above the line y = 20 and below the line x + y = 60. Since Esther wants to spend as little as possible on Barb's gift, she should choose the point on the line x + y = 60 that is closest to the y-axis. This point is (0, 60), which means she should spend $0 on Barb's gift and $60 on Wanda's gift. Therefore, the best choice is B.

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