Use the table to answer the question.
x 3 4 5 6 7 8 9 10 11
y 3.5 4 4.2 4.5 4.8 5.5 5.8 6.4 6.7
Recognize which of the following graphs correctly uses a straight line to model the relationship between the quantitative variables in the table.
(1 point)
Responses
Quadrant 1 of a coordinate plane shows nine unlabeled plotted points that generally trend linearly upward. A horizontal line is plotted and labeled y equals 5. The line does not follow the slope of the points. The x-axis ranges from 0 to 12 in increments of 1. The y-axis ranges from 0 to 7 in increments of 1. The trend line starts at left parenthesis 3 comma 5 right parenthesis and ends at left parenthesis 11 comma 5 right parenthesis. The points are plotted at left parenthesis 3 comma 3.5 right parenthesis, left parenthesis 4 comma 4 right parenthesis, left parenthesis 5 comma 4.2 right parenthesis, left parenthesis 6 comma 4.5 right parenthesis, left parenthesis 7 comma 4.8 right parenthesis, left parenthesis 8 comma 5.5 right parenthesis, left parenthesis 9 comma 5.8 right parenthesis, left parenthesis 10 comma 6.4 right parenthesis, and left parenthesis 11 comma 6.7 right parenthesis.
Image with alt text: Quadrant 1 of a coordinate plane shows nine unlabeled plotted points that generally trend linearly upward. A horizontal line is plotted and labeled y equals 5. The line does not follow the slope of the points. The x-axis ranges from 0 to 12 in increments of 1. The y-axis ranges from 0 to 7 in increments of 1. The trend line starts at left parenthesis 3 comma 5 right parenthesis and ends at left parenthesis 11 comma 5 right parenthesis. The points are plotted at left parenthesis 3 comma 3.5 right parenthesis, left parenthesis 4 comma 4 right parenthesis, left parenthesis 5 comma 4.2 right parenthesis, left parenthesis 6 comma 4.5 right parenthesis, left parenthesis 7 comma 4.8 right parenthesis, left parenthesis 8 comma 5.5 right parenthesis, left parenthesis 9 comma 5.8 right parenthesis, left parenthesis 10 comma 6.4 right parenthesis, and left parenthesis 11 comma 6.7 right parenthesis.
Quadrant 1 of a coordinate plane shows nine unlabeled plotted points that generally trend upward. A trend line is plotted that trends upward and is labeled y equals x minus 2. The line is at a different slope than the plotted points. The x-axis and y-axis ranges from 0 to 12 in increments of 1. The line starts at left parenthesis 3 comma 1 right parenthesis and ends at left parenthesis 11 comma 9 right parenthesis. The points are plotted at left parenthesis 3 comma 3.5 right parenthesis, left parenthesis 4 comma 4 right parenthesis, left parenthesis 5 comma 4.2 right parenthesis, left parenthesis 6 comma 4.5 right parenthesis, left parenthesis 7 comma 4.8 right parenthesis, left parenthesis 8 comma 5.5 right parenthesis, left parenthesis 9 comma 5.8 right parenthesis, left parenthesis 10 comma 6.4 right parenthesis, and left parenthesis 11 comma 6.7 right parenthesis. The trend line intersects with the outer edge of the plotted point at left parenthesis 7 comma 4.8 right parenthesis.
Image with alt text: Quadrant 1 of a coordinate plane shows nine unlabeled plotted points that generally trend upward. A trend line is plotted that trends upward and is labeled y equals x minus 2. The line is at a different slope than the plotted points. The x-axis and y-axis ranges from 0 to 12 in increments of 1. The line starts at left parenthesis 3 comma 1 right parenthesis and ends at left parenthesis 11 comma 9 right parenthesis. The points are plotted at left parenthesis 3 comma 3.5 right parenthesis, left parenthesis 4 comma 4 right parenthesis, left parenthesis 5 comma 4.2 right parenthesis, left parenthesis 6 comma 4.5 right parenthesis, left parenthesis 7 comma 4.8 right parenthesis, left parenthesis 8 comma 5.5 right parenthesis, left parenthesis 9 comma 5.8 right parenthesis, left parenthesis 10 comma 6.4 right parenthesis, and left parenthesis 11 comma 6.7 right parenthesis. The trend line intersects with the outer edge of the plotted point at left parenthesis 7 comma 4.8 right parenthesis.
Quadrant 1 of a coordinate plane shows nine unlabeled plotted points that generally trend linearly upward. An upward trend line is plotted and labeled y equals 0.35 times x plus 2.8. The line follows the slope of the points. The x-axis ranges from 0 to 12 in increments of 1. The y-axis ranges from 0 to 7 in increments of 1. The trend line starts at approximately left parenthesis 3 comma 3.8 right parenthesis and ends at approximately left parenthesis 11 comma 6.8 right parenthesis. The points are plotted at left parenthesis 3 comma 3.5 right parenthesis, left parenthesis 4 comma 4 right parenthesis, left parenthesis 5 comma 4.2 right parenthesis, left parenthesis 6 comma 4.5 right parenthesis, left parenthesis 7 comma 4.8 right parenthesis, left parenthesis 8 comma 5.5 right parenthesis, left parenthesis 9 comma 5.8 right parenthesis, left parenthesis 10 comma 6.4 right parenthesis, and left parenthesis 11 comma 6.7 right parenthesis.
Image with alt text: Quadrant 1 of a coordinate plane shows nine unlabeled plotted points that generally trend linearly upward. An upward trend line is plotted and labeled y equals 0.35 times x plus 2.8. The line follows the slope of the points. The x-axis ranges from 0 to 12 in increments of 1. The y-axis ranges from 0 to 7 in increments of 1. The trend line starts at approximately left parenthesis 3 comma 3.8 right parenthesis and ends at approximately left parenthesis 11 comma 6.8 right parenthesis. The points are plotted at left parenthesis 3 comma 3.5 right parenthesis, left parenthesis 4 comma 4 right parenthesis, left parenthesis 5 comma 4.2 right parenthesis, left parenthesis 6 comma 4.5 right parenthesis, left parenthesis 7 comma 4.8 right parenthesis, left parenthesis 8 comma 5.5 right parenthesis, left parenthesis 9 comma 5.8 right parenthesis, left parenthesis 10 comma 6.4 right parenthesis, and left parenthesis 11 comma 6.7 right parenthesis.
Quadrant 1 of a coordinate plane shows nine unlabeled plotted points that generally trend linearly upward. A trend line is plotted and labeled y equals 0.35 times x plus 2.6. The line follows the slope of the points. "The x-axis ranges from 0 to 12 in increments of 1. The y-axis ranges from 0 to 7 in increments of 1. The trend line starts at approximately left parenthesis 3 comma 3.7 right parenthesis and ends at approximately left parenthesis 11 comma 6.4 right parenthesis. The points are plotted at left parenthesis 3 comma 3.5 right parenthesis, left parenthesis 4 comma 4 right parenthesis, left parenthesis 5 comma 4.2 right parenthesis, left parenthesis 6 comma 4.5 right parenthesis, left parenthesis 7 comma 4.8 right parenthesis, left parenthesis 8 comma 5.5 right parenthesis, left parenthesis 9 comma 5.8 right parenthesis, left parenthesis 10 comma 6.4 right parenthesis, and left parenthesis 11 comma 6.7 right parenthesis.
Image with alt text: Quadrant 1 of a coordinate plane shows nine unlabeled plotted points that generally trend linearly upward. A trend line is plotted and labeled y equals 0.35 times x plus 2.6. The line follows the slope of the points. "The x-axis ranges from 0 to 12 in increments of 1. The y-axis ranges from 0 to 7 in increments of 1. The trend line starts at approximately left parenthesis 3 comma 3.7 right parenthesis and ends at approximately left parenthesis 11 comma 6.4 right parenthesis. The points are plotted at left parenthesis 3 comma 3.5 right parenthesis, left parenthesis 4 comma 4 right parenthesis, left parenthesis 5 comma 4.2 right parenthesis, left parenthesis 6 comma 4.5 right parenthesis, left parenthesis 7 comma 4.8 right parenthesis, left parenthesis 8 comma 5.5 right parenthesis, left parenthesis 9 comma 5.8 right parenthesis, left parenthesis 10 comma 6.4 right parenthesis, and left parenthesis 11 comma 6.7 right parenthesis.
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