Nick and his cousin Sara have the same birthday, but Nick is four years older than Sara. Let the variable x represent Nick’s age and y represent Sara’s age. Which graph represents the relationship between Nick’s age and Sara’s age?

(1 point)
Responses

The first quadrant of a coordinate plane titled Nick’s and Sara’s Ages.The x-axis is labeled Nick’s Age in years. The y-axis is labeled Sara’s Age in years. The graph shows a line passing through the points left parenthesis 0 comma 4 right parenthesis, left parenthesis 2 comma 6 right parenthesis, and left parenthesis 4 comma 8 right parenthesis.
Image with alt text: The first quadrant of a coordinate plane titled Nick’s and Sara’s Ages. The x-axis is labeled Nick’s Age in years. The y-axis is labeled Sara’s Age in years. The graph shows a line passing through the points left parenthesis 0 comma 4 right parenthesis, left parenthesis 2 comma 6 right parenthesis, and left parenthesis 4 comma 8 right parenthesis.

The first quadrant of a coordinate plane titled Nick’s and Sara’s Ages.The x-axis is labeled Nick’s Age in years. The y-axis is labeled Sara’s Age in years. The graph shows a line passing through the points left parenthesis 0 comma 0 right parenthesis, left parenthesis 4 comma one-half right parenthesis, and left parenthesis 8 comma 1 right parenthesis.
Image with alt text: The first quadrant of a coordinate plane titled Nick’s and Sara’s Ages. The x-axis is labeled Nick’s Age in years. The y-axis is labeled Sara’s Age in years. The graph shows a line passing through the points left parenthesis 0 comma 0 right parenthesis, left parenthesis 4 comma one-half right parenthesis, and left parenthesis 8 comma 1 right parenthesis.

The first quadrant of a coordinate plane titled Nick’s and Sara’s Ages.The x-axis is labeled Nick’s Age in years. The y-axis is labeled Sara’s Age in years. The graph shows a line passing through the points left-parenthesis 0 comma 0 right-parenthesis, left-parenthesis one-half comma 4 right-parenthesis, and left-parenthesis 1 comma 8 right-parenthesis.
Image with alt text: The first quadrant of a coordinate plane titled Nick’s and Sara’s Ages. The x-axis is labeled Nick’s Age in years. The y-axis is labeled Sara’s Age in years. The graph shows a line passing through the points left-parenthesis 0 comma 0 right-parenthesis, left-parenthesis one-half comma 4 right-parenthesis, and left-parenthesis 1 comma 8 right-parenthesis.

The first quadrant of a coordinate plane titled Nick’s and Sara’s Ages.The x-axis is labeled Nick’s Age in years. The y-axis is labeled Sara’s Age in years. The graph shows a line passing through the points left parenthesis 4 comma 0 right parenthesis, left parenthesis 6 comma 2 right parenthesis, and left parenthesis 8 comma 4 right parenthesis.
Image with alt text: The first quadrant of a coordinate plane titled Nick’s and Sara’s Ages. The x-axis is labeled Nick’s Age in years. The y-axis is labeled Sara’s Age in years. The graph shows a line passing through the points left parenthesis 4 comma 0 right parenthesis, left parenthesis 6 comma 2 right parenthesis, and left parenthesis 8 comma 4 right parenthesis.
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1 answer

The correct graph is the one that shows a line passing through the points (0, 4), (2, 6), and (4, 8).
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