Question

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Part 1
Use the scatter plot to answer the question.
Ten athletes ran two races of the same length. The scatter plot shows their times. Select all statements that are true.
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Part 1
Select all that apply.
A.
Eight of the times for the second race were less than 17 seconds.
B.
There were exactly two athletes whose times in the two races differed by exactly 2 seconds.
C.
There were three athletes who had the same time in both races.
D.
There were four athletes who were faster in the second race than in the first.
E.
Nine of the times for the first race were at least 16 seconds.

Answer 1

I don’t have the scatter plot image, so I can’t tell which statements are true yet. Could you either upload the plot or type the coordinates of the 10 points? (If you don’t know the exact coordinates, a clear photo/screenshot is fine.)

To check each statement yourself, use these steps (assuming the horizontal axis is the first-race time and the vertical axis is the second-race time; tell me if your axes are reversed):

- A: Count how many points have second-race time < 17 (y < 17). If eight points satisfy that, A is true.
- B: Count how many points satisfy |first − second| = 2 exactly. Because the plot is on grid paper, check for points that lie exactly two grid units horizontally from the line y = x (one unit = 1 second). If exactly two points have that exact difference, B is true.
- C: Count points on the line y = x (these are athletes with identical times in both races). If three points are exactly on that line, C is true.
- D: Count points with second-race time < first-race time (y < x). That means the athlete was faster in the second race. If four points satisfy that, D is true.
- E: Count points with first-race time ≥ 16 (x ≥ 16). If nine points satisfy that, E is true.

Send the image or list of the 10 (x,y) times and I’ll mark which options are correct.