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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

Ruby
Ruby

Greg
Greg

Bella
Bella

Paul
Paul
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1 answer

To determine who ran 2.12 km in 45 minutes, we need to analyze the data provided in the graph.

  1. Bella ran 3.5 km in 45 minutes.
  2. Ruby ran 2.5 km in 40 minutes.
  3. Greg ran 2.5 km in 45 minutes.
  4. Paul ran 1 km in 25 minutes.

Since none of the participants ran exactly 2.12 km in 45 minutes, we can check their ratios for the closest comparison. However, the only relevant data point since the question asks for 2.12 km in 45 minutes implies that none of the participants ran that exact distance.

Based on the graph data:

  • Bella: 3.5 km in 45 minutes (which is greater)
  • Ruby: 2.5 km in 40 minutes (which is less)
  • Greg: 2.5 km in 45 minutes (which is equal to his distance at a longer time)
  • Paul: 1 km in 25 minutes (which is less)

Thus, the person who ran 2.12 km in 45 minutes is closest to Greg.

The answer is Greg.