Penny works as a tutor (x) and as a lifeguard (y). This graph shows the relationship between the number of hours she worked at each job over the past eight weeks. Which data set represents the scatter plot shown?
A (x): 20, 10, 5, 15, 0, 5, 15, 25
(y): 20, 30, 35, 25, 40, 30, 20, 15
B (x): 20, 30, 35, 25, 40, 30, 20, 15
(y): 25, 15, 5, 0, 15, 5, 10, 20
C (x): 15, 20, 30, 40, 25, 35, 30, 20
(y): 20, 10, 5, 15, 0, 5, 15, 25
D (x): 20, 30, 35, 25, 40, 30, 20, 15
(y): 20, 30, 35, 25, 40, 30, 20, 15
Question & Answer
Penny works as a tutor (x) and as a lifeguard (y). This graph shows the relationship between the number of hours she worked at each job over the past eight weeks. Which data set represents the scatter plot shown
1 Answer
Verified archiveTo determine which data set matches the scatter plot of hours Penny worked as a tutor (x) and lifeguard (y), we need to compare the coordinates (x, y) from each option with the typical trend shown in a scatter plot.
Let’s analyze the data sets:
A: (20, 20), (10, 30), (5, 35), (15, 25), (0, 40), (5, 30), (15, 20), (25, 15)
B: (20, 25), (30, 15), (35, 5), (25, 0), (40, 15), (30, 5), (20, 10)
C: (15, 20), (20, 10), (30, 5), (40, 15), (25, 0), (35, 5), (30, 15), (20, 25)
D: (20, 20), (30, 30), (35, 35), (25, 25), (40, 40), (30, 30), (20, 20)
Based on a typical downward trend (where more hours worked at one job often means fewer hours at the other), Data Set A appears to have more reasonable variations that suggest a negative correlation in hours worked between the two jobs