sat suite question viewer

Algebra / Linear equations in two variables Difficulty: Medium

The graph in the xy-plane models the possible combinations of length $x$ , $in meters (m)$ , and width $y$ , in meters, for a rectangle with a perimeter of $36 m$ . Which statement is the best interpretation of the point $left parenthesis 8 comma 10 right parenthesis$ in this context?

The length is $10 m$ less than the perimeter, and the width is $8 m$ less than the perimeter.

The length is $10 m$ , and the width is $8 m$ .

The length is $8 m$ , and the width is $10 m$ .

The length is $8 m$ less than the perimeter, and the width is $10 m$ less than the perimeter.

Back question 114 of 126 Next

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126

Explanation

Choice C is correct. It’s given that the graph in the xy-plane models the possible combinations of length $x$ , in meters (m), and width $y$ , in meters, for a rectangle with a perimeter of $36$ m. Since $x$ represents the length, in meters, and $y$ represents the width, in meters, the point $left parenthesis 8 comma 10 right parenthesis$ in the xy-plane represents a rectangle whose length is $8$ m and whose width is $10$ m.

Choice A is incorrect and may result from conceptual errors.

Choice B is incorrect. This is an interpretation of the point $left parenthesis 10 comma 8 right parenthesis$ , not $left parenthesis 8 comma 10 right parenthesis$ .

Choice D is incorrect and may result from conceptual errors.