To determine which scatter plot accurately represents the given data, we first need to extract the lesson lengths and costs from the descriptions of the piano instructors. Here is a summary of the data:
- Instructor 1: 30 minutes, $45
- Instructor 2: 30 minutes, $25
- Instructor 3: 45 minutes, $60
- Instructor 4: 20 minutes, $35
- Instructor 5: 60 minutes, $50
- Instructor 6: 50 minutes, $55
- Instructor 7: 60 minutes, $75
- Instructor 8: 30 minutes, $50
- Instructor 9: 60 minutes, $80
This gives us the following pairs of (lesson length, lesson cost):
- (30, 45)
- (30, 25)
- (45, 60)
- (20, 35)
- (60, 50)
- (50, 55)
- (60, 75)
- (30, 50)
- (60, 80)
Now we will analyze each option to see which one matches this data:
A. Data points: (20, 25), (30, 35), (30, 45), (30, 50), (45, 50), (50, 55), (60, 60), (60, 75), and (60, 80).
- Incorrect data points:
- (20, 25) and (30, 35) are not in our list.
- (60, 60) is not in our list.
B. Data points: (20, 35), (25, 30), (30, 45), (30, 50), (45, 60), (50, 55), (60, 50), (60, 75), and (60, 80).
- Incorrect data points:
- (25, 30) is not in our list.
- (60, 50) is repeated from the data we have.
C. Data points: (20, 35), (30, 25), (30, 45), (30, 50), (45, 60), (50, 55), (60, 50), (60, 75), and (60, 80).
- Incorrect data points:
- (30, 25) is not in our list.
D. Data points: (25, 30), (35, 20), (45, 30), (50, 30), (50, 60), (55, 50), (60, 45), (75, 60), and (80, 60).
- Incorrect data points:
- None of these match our list.
After comparing the data from each scatter plot with the lesson length and cost pairs we derived from the instructors, we confirm:
None of the provided options A, B, C, or D match the actual data points we have extracted from the description of the instructors.
However, if the question is to find the one closest or consistent with the pairs and costs, note that (30, 45) and (30, 25) from instructors match two of the instructor points, but if we only select points taking pairs correctly then:
The correct data points for instructors based on minimum values taken should be noted where:
- (20, 35),
- (30, 25),
- (30, 45),
- (30, 50),
- (45, 60),
- (50, 55),
- (60, 50),
- (60, 75),
- (60, 80)
The data sets possibly did not contain all ranges attainable. Thus best notes are to check each plot’s connections attributes best works for upward or converge accuracy under existing data/s. For explicit data determination per boardable instructor limits.
As such, the conclusion is that the scatter plots provided do not accurately capture all the lessons that were listed for each instructor based on correct pair grouping needed! Please confer verified choices or explore for corrected accuracy or pull from feasible query points effectively.
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