Joe wants to fence a rectangular pen for his goats. The length of the pen 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? (1 point) Responses One quadrant of a coordinate plane is shown. The y-axis is numbered from 0 to 140 and has a step size of 20. It is labeled Length. The x-axis is numbered from 0 to 140 and has a step size of 20. It is labeled Width. Two lines intersect on the coordinate plane. The first line goes from left-parenthesis 0 comma 130 right-parenthesis to left-parenthesis 130 comma 0 right-parenthesis. The second line goes through the points left-parenthesis 0 comma 60 right-parenthesis and left-parenthesis 0 comma 150 right-parenthesis. The coordinate plane is shaded to the left of the first line and above the second line. Image with alt text: y is greater than or equal to 60. 2x plus 2y is less than or equal to 260. The first quadrant of a coordinate plane with the x axis labeled Width and the y axis labeled Length. A solid horizontal boundary line is graphed through the point (0, 60) and shaded above the boundary line. A second solid boundary line passes through the points (0, 130) and (130, 0) and is shaded below the boundary line. The overlapping shaded region includes the points (0, 80), (20, 80), (40, 80). One quadrant of a coordinate plane is shown. The y-axis is numbered from 0 to 140 and has a step size of 20. It is labeled Length. The x-axis is numbered from 0 to 140 and has a step size of 20. It is labeled Width. Two lines intersect on the coordinate plane. The first line goes from left-parenthesis 0 comma 130 right-parenthesis to left-parenthesis 130 comma 0 right-parenthesis. The second line goes through the points left-parenthesis 0 comma 60 right-parenthesis and left-parenthesis 0 comma 150 right-parenthesis. The coordinate plane is shaded to the left of the first line and above the second line. The x-axis is labeled Width; the y-axis is labeled Length. The first inequality is y less than or equal to 60; this is graphed as a horizontal line at y = 60. The second inequality is 2 x plus 2 y less than or equal to 260; this is graphed as a line that goes roughly from left parenthesis 0 comma 130 right parenthesis to left parenthesis 130 comma 0 right parenthesis. The area below (but not between) the two lines is shaded. Image with alt text: y is less than or equal to 60. 2x plus 2y is less than or equal to 260. The first quadrant of a coordinate plane with the x axis labeled Width and the y axis labeled Length. A solid horizontal boundary line is graphed through the point (0, 60) and is shaded below the boundary line. A second solid boundary line passes through the points (0, 130) and (130, 0) and is shaded below the boundary line. The overlapping shaded region includes the points (0, 40), (20, 20), (60, 50). The x-axis is labeled Width; the y-axis is labeled Length. The first inequality is y less than or equal to 60; this is graphed as a horizontal line at y = 60. The second inequality is 2 x plus 2 y less than or equal to 260; this is graphed as a line that goes roughly from left parenthesis 0 comma 130 right parenthesis to left parenthesis 130 comma 0 right parenthesis. The area below (but not between) the two lines is shaded. One quadrant of a coordinate plane is shown. The y-axis is numbered from 0 to 140 and has a step size of 20. It is labeled Length. The x-axis is numbered from 0 to 140 and has a step size of 20. It is labeled Width. Two lines intersect on the coordinate plane. The first line goes from left-parenthesis 0 comma 130 right-parenthesis to left-parenthesis 130 comma 0 right-parenthesis. The second line goes through the points left-parenthesis 0 comma 60 right-parenthesis and left-parenthesis 0 comma 150 right-parenthesis. The coordinate plane is shaded to the right of the first line and above the second line. Image with alt text: y is greater than or equal to 60. 2x plus 2y is greater than 260. The first quadrant of a coordinate plane with the x axis labeled Width and the y axis labeled Length. A solid horizontal boundary line is graphed through the point (0, 60) and is shaded above the boundary line. A second solid boundary line passes through the points (0, 130) and (130, 0) and is shaded above the boundary line. The overlapping shaded region includes the points (0, 130), (60, 100), (80, 120). One quadrant of a coordinate plane is shown. The y-axis is numbered from 0 to 140 and has a step size of 20. It is labeled Length. The x-axis is numbered from 0 to 140 and has a step size of 20. It is labeled Width. Two lines intersect on the coordinate plane. The first line goes from left-parenthesis 0 comma 130 right-parenthesis to left-parenthesis 130 comma 0 right-parenthesis. The second line goes through the points left-parenthesis 0 comma 60 right-parenthesis and left-parenthesis 0 comma 150 right-parenthesis. The coordinate plane is shaded to the right of the first line and above the second line.

Question

Joe wants to fence a rectangular pen for his goats. The length of the pen 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? (1 point) Responses One quadrant of a coordinate plane is shown. The y-axis is numbered from 0 to 140 and has a step size of 20. It is labeled Length. The x-axis is numbered from 0 to 140 and has a step size of 20. It is labeled Width. Two lines intersect on the coordinate plane. The first line goes from left-parenthesis 0 comma 130 right-parenthesis to left-parenthesis 130 comma 0 right-parenthesis. The second line goes through the points left-parenthesis 0 comma 60 right-parenthesis and left-parenthesis 0 comma 150 right-parenthesis. The coordinate plane is shaded to the left of the first line and above the second line. Image with alt text: y is greater than or equal to 60. 2x plus 2y is less than or equal to 260. The first quadrant of a coordinate plane with the x axis labeled Width and the y axis labeled Length. A solid horizontal boundary line is graphed through the point (0, 60) and shaded above the boundary line. A second solid boundary line passes through the points (0, 130) and (130, 0) and is shaded below the boundary line. The overlapping shaded region includes the points (0, 80), (20, 80), (40, 80). One quadrant of a coordinate plane is shown. The y-axis is numbered from 0 to 140 and has a step size of 20. It is labeled Length. The x-axis is numbered from 0 to 140 and has a step size of 20. It is labeled Width. Two lines intersect on the coordinate plane. The first line goes from left-parenthesis 0 comma 130 right-parenthesis to left-parenthesis 130 comma 0 right-parenthesis. The second line goes through the points left-parenthesis 0 comma 60 right-parenthesis and left-parenthesis 0 comma 150 right-parenthesis. The coordinate plane is shaded to the left of the first line and above the second line. The x-axis is labeled Width; the y-axis is labeled Length. The first inequality is y less than or equal to 60; this is graphed as a horizontal line at y = 60. The second inequality is 2 x plus 2 y less than or equal to 260; this is graphed as a line that goes roughly from left parenthesis 0 comma 130 right parenthesis to left parenthesis 130 comma 0 right parenthesis. The area below (but not between) the two lines is shaded. Image with alt text: y is less than or equal to 60. 2x plus 2y is less than or equal to 260. The first quadrant of a coordinate plane with the x axis labeled Width and the y axis labeled Length. A solid horizontal boundary line is graphed through the point (0, 60) and is shaded below the boundary line. A second solid boundary line passes through the points (0, 130) and (130, 0) and is shaded below the boundary line. The overlapping shaded region includes the points (0, 40), (20, 20), (60, 50). The x-axis is labeled Width; the y-axis is labeled Length. The first inequality is y less than or equal to 60; this is graphed as a horizontal line at y = 60. The second inequality is 2 x plus 2 y less than or equal to 260; this is graphed as a line that goes roughly from left parenthesis 0 comma 130 right parenthesis to left parenthesis 130 comma 0 right parenthesis. The area below (but not between) the two lines is shaded. One quadrant of a coordinate plane is shown. The y-axis is numbered from 0 to 140 and has a step size of 20. It is labeled Length. The x-axis is numbered from 0 to 140 and has a step size of 20. It is labeled Width. Two lines intersect on the coordinate plane. The first line goes from left-parenthesis 0 comma 130 right-parenthesis to left-parenthesis 130 comma 0 right-parenthesis. The second line goes through the points left-parenthesis 0 comma 60 right-parenthesis and left-parenthesis 0 comma 150 right-parenthesis. The coordinate plane is shaded to the right of the first line and above the second line. Image with alt text: y is greater than or equal to 60. 2x plus 2y is greater than 260. The first quadrant of a coordinate plane with the x axis labeled Width and the y axis labeled Length. A solid horizontal boundary line is graphed through the point (0, 60) and is shaded above the boundary line. A second solid boundary line passes through the points (0, 130) and (130, 0) and is shaded above the boundary line. The overlapping shaded region includes the points (0, 130), (60, 100), (80, 120). One quadrant of a coordinate plane is shown. The y-axis is numbered from 0 to 140 and has a step size of 20. It is labeled Length. The x-axis is numbered from 0 to 140 and has a step size of 20. It is labeled Width. Two lines intersect on the coordinate plane. The first line goes from left-parenthesis 0 comma 130 right-parenthesis to left-parenthesis 130 comma 0 right-parenthesis. The second line goes through the points left-parenthesis 0 comma 60 right-parenthesis and left-parenthesis 0 comma 150 right-parenthesis. The coordinate plane is shaded to the right of the first line and above the second line.

Answer 1

The correct answer is: One quadrant of a coordinate plane is shown. The y-axis is numbered from 0 to 140 and has a step size of 20. It is labeled Length. The x-axis is numbered from 0 to 140 and has a step size of 20. It is labeled Width. Two lines intersect on the coordinate plane. The first line goes from left-parenthesis 0 comma 130 right-parenthesis to left-parenthesis 130 comma 0 right-parenthesis. The second line goes through the points left-parenthesis 0 comma 60 right-parenthesis and left-parenthesis 0 comma 150 right-parenthesis. The coordinate plane is shaded to the left of the first line and above the second line. The x-axis is labeled Width; the y-axis is labeled Length. The first inequality is y less than or equal to 60; this is graphed as a horizontal line at y = 60. The second inequality is 2 x plus 2 y less than or equal to 260; this is graphed as a line that goes roughly from left parenthesis 0 comma 130 right parenthesis to left parenthesis 130 comma 0 right parenthesis. The area below (but not between) the two lines is shaded.