Graph Proportional Relationships Quick Check
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Question
Use the image to answer the question.
A line graph titled 5 Kilometer Run shows time in minutes on the x-axis and distance in kilometers on the y-axis. The graph shows the trend for four participants: Bella, Ruby, Greg, and Paul. The x-axis ranges from 0 to 60 in increments of 10. The y-axis ranges from 0 to 15 in increments of 2.5. A line labeled Bella starts at the origin and passes through plotted point left parenthesis 45 comma 3.5 right parenthesis. A line labeled Ruby starts at the origin and passes through plotted point left parenthesis 40 comma 2.5 right parenthesis. A line labeled Greg starts at the origin and passes through plotted point left parenthesis 45 comma 2.5 right parenthesis. A line labeled Paul starts at the origin and passes through plotted point left parenthesis 25 comma 1 right parenthesis.
Four friends ran a 5K to raise money for their school. The graph shows their rates as a ratio of distance measured in kilometers and time in minutes. Based on the points shown, name the person who ran 212 km in 45 minutes.
(1 point)
Responses
Greg
Greg
Bella
Bella
Ruby
Ruby
Paul
Paul
Based on the points shown on the graph, the person who ran 212 km in 45 minutes is Greg.
To determine the person who ran 2.12 kilometers in 45 minutes, we need to look at the graph and find the point that represents these values.
On the graph, locate the point where the x-axis (time) is 45 and the y-axis (distance) is 2.12.
Based on the information given, the line labeled "Greg" starts at the origin and passes through the plotted point (45, 2.5). Since the point (45, 2.12) is on the line labeled "Greg," the person who ran 2.12 km in 45 minutes is Greg.
Therefore, the correct response is "Greg."