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A football kicker attempted to make field goals from different distances from the goal post. The relationship between the distance from the goal post and the number of field goals made is shown in the scatter plot.

scatter plot titled football field goals with x-axis labeled distance from goal post in yards and y-axis labeled number of field goals with points at 15 comma 9, 20 comma 9, 25 comma 11, 30 comma 10, 35 comma 10, 40 comma 7, 45 comma 4, and 50 comma 3

Which of the following tables of data represents the scatter plot?
Distance From Goal Post (in yards) 15 20 25 30 35 40 45 50
Number of Field Goals 11 9 10 9 7 5 3 2
Distance From Goal Post (in yards) 11 9 10 9 7 5 3 2
Number of Field Goals 15 20 25 30 35 40 45 50
Distance From Goal Post (in yards) 15 20 25 30 35 40 45 50
Number of Field Goals 9 9 11 10 10 7 4 3
Distance From Goal Post (in yards) 15 20 25 30 35 40 45 50
Number of Field Goals 10 9 10 11 9 6 6 2

1 answer

To determine which table of data correctly represents the scatter plot, we need to align the distance from the goal post with the corresponding number of field goals made as presented in the points you provided.

Here are the points from the scatter plot:

  • At 15 yards, 9 field goals made
  • At 20 yards, 9 field goals made
  • At 25 yards, 11 field goals made
  • At 30 yards, 10 field goals made
  • At 35 yards, 10 field goals made
  • At 40 yards, 7 field goals made
  • At 45 yards, 4 field goals made
  • At 50 yards, 3 field goals made

Now, let's analyze the provided tables of data:

  1. Table 1

    Distance From Goal Post (in yards):  15  20  25  30  35  40  45  50
Number of Field Goals:                  11  9   10  9   7   5   3   2

    (Not correct based on the values in the scatter plot.)

  2. Table 2

    Distance From Goal Post (in yards):  11  9  10  9   7   5   3   2
Number of Field Goals:                  15  20  25  30  35  40  45  50

    (Not correct, as distances and field goals are swapped.)

  3. Table 3

    Distance From Goal Post (in yards):  15  20  25  30  35  40  45  50
Number of Field Goals:                  9   9   11  10  10  7   4   3

    (This one matches the scatter plot data!)

  4. Table 4

    Distance From Goal Post (in yards):  15  20  25  30  35  40  45  50
Number of Field Goals:                  10  9   10  11  9   6   6   2

    (Not correct based on the values in the scatter plot.)

The table that matches the data from the scatter plot is Table 3:

Distance From Goal Post (in yards):  15  20  25  30  35  40  45  50
Number of Field Goals:                  9   9   11  10  10  7   4   3