Algebra A Unit 9 Semester Exam Due 12/13/23
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Question
POSSIBLE POINTS: 5.71
Mr. Jones needs to build a rectangular fence in his backyard to keep their dog safe. The length of the fence (y) should be at least 60 ft, and the distance around should be no more than 260 ft. Which system of inequalities and graph represent the possible dimensions of the pen?
Responses
The system of inequalities can be written as:
1. y ≥ 60 (length should be at least 60 ft)
2. 2(x + y) ≤ 260 (perimeter should be no more than 260 ft)
To graph these inequalities, we can start by graphing the first inequality y ≥ 60. This represents all possible values of y that are greater than or equal to 60.
Next, we graph the second inequality 2(x + y) ≤ 260. First, we simplify it: x + y ≤ 130. This represents all possible values of x and y that satisfy the inequality.
The graph will have a shaded area below or on the line x + y = 130.
So the final graph will have a shaded area representing the overlap between the two inequalities.
Please note that without actual values for x and y, the graph will only represent the range of possible values.