Question

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.

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

Answer 1

(d) 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

Explanation:

You want to identify the data table that matches the graph.

Graph

The scatter plot lists yards on the horizontal axis, and goals on the vertical axis. That means we can use an ordered pair (yards, goals) to describe a point on the graph.

The point at upper left has (yards, goals) = (15, 10).

Table

We want to identify the table that has this same point as one of its entries.

The first entry of each of the tables, in order is ...

(yards, goals) = (15, 11), (11, 15), (15, 9), (15, 10)

Only the last table has data values that match those plotted on the graph, choice D.

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