The lesson length (in minutes) and the cost (in dollars) of piano lessons given by nine different piano instructors are shown in the table below.
The table shows 30 minutes lesson costs 45 dollars by the first instructor, 30 minutes lesson costs 25 dollars by the second instructor, 45 minutes lesson costs 60 dollars by the third instructor, 20 minutes lesson costs 35 dollars by the fourth instructor, 60 minutes lesson costs 50 dollars by the fifth instructor, 50 minutes lesson costs 55 dollars by the sixth instructor, 60 minutes lesson costs 75 dollars by the seventh instructor, 30 minutes lesson costs 50 dollars by the eighth instructor, and 60 minutes lesson costs 80 dollars by the ninth instructor.
Which of the following scatter plots correctly displays this data?
The correct scatter plot would have lesson length (in minutes) on the x-axis and cost (in dollars) on the y-axis. Each point on the scatter plot would represent one instructor's lesson cost for a particular lesson length.
Since there are only nine data points, we can list them out:
(30, 45)
(30, 25)
(45, 60)
(20, 35)
(60, 50)
(50, 55)
(60, 75)
(30, 50)
(60, 80)
To plot this data correctly, you would need to have one point for each instructor's lesson cost at the corresponding lesson length. Some points will overlap, so it's important to show all data points.
The correct scatter plot would show the points (30, 45), (30, 25), (45, 60), (20, 35), (60, 50), (50, 55), (60, 75), (30, 50), and (60, 80) scattered across the graph with their respective costs.