The city of Barksdale has a zoo and an aquarium. This graph shows the relationship between the number of people that visited the zoo (x) and the number of people visited the aquarium (y) each day last week. Which data set represents the scatter plot shown?
A (x): 60, 75, 40, 25, 20, 15, 20
(y): 90, 100, 100, 80, 70, 40, 20
B (x): 60, 75, 40, 25, 20, 15, 20
(y): 20, 40, 70, 80, 100, 100, 90
C (x): 20, 40, 70, 80, 100, 90
(y): 60, 75, 40, 25, 20, 15, 20
D (x): 20, 40, 70, 80, 100, 90
(y): 15, 20, 25, 40, 75, 60
To determine which data set represents the scatter plot accurately, we need to analyze the pairs of (x, y) values.
– Set A:
– (60, 90)
– (75, 100)
– (40, 100)
– (25, 80)
– (20, 70)
– (15, 40)
– (20, 20)
This set shows a trend of increasing visits to the aquarium as visits to the zoo increase, especially at the higher values.
– Set B:
– (60, 20)
– (75, 40)
– (40, 70)
– (25, 80)
– (20, 100)
– (15, 100)
– (20, 90)
This set gives a mostly decreasing trend and doesn’t fit a clear scatter plot.
– Set C:
– (20, 60)
– (40, 75)
– (70, 40)
– (80, 25)
– (100, 20)
– (90, 15)
This data is not in the same format and doesn’t match typical visits.
– Set D:
– (20, 15)
– (40, 20)
– (70, 25)
– (80, 40)
– (100
To determine which data set represents the scatter plot correctly, you need to look for a consistent relationship between the values of x (visitors to the zoo) and y (visitors to the aquarium).
1. In Option A, as x increases (zoo visitors), y also generally increases, indicating a positive correlation.
2. In Option B, the relationship is reversed, showing a decline in y as x increases, hinting at an inverse correlation.
3. Options C and D do not properly match the format for x and y as given in the question.
The best option that appears consistent with a potential positive correlation is Option A.
So, the correct answer is A.
To determine which data set represents the scatter plot showing the relationship between the number of people visiting the zoo (x) and the aquarium (y), we need to analyze the patterns of data points.
From the scatter plot:
– Typically, as the number of visitors to the zoo increases, we look for a corresponding change in the number of aquarium visitors.
Now, examining the provided options:
Option A: (x): 60, 75, 40, 25, 20, 15, 20
(y): 90, 100, 100, 80, 70, 40, 20
– This option has a fairly consistent correlation where more visitors to the zoo often associate with more aquarium visitors.
Option B: (x): 60, 75, 40, 25, 20, 15, 20
(y): 20, 40, 70, 80, 100, 100, 90
– This option inversely relates the aquarium visitors to the zoo up to a certain point, suggesting an inconsistency.
Option C: (x): 20, 40, 70, 80, 100, 90
(y): 60, 75, 40, 25, 20, 15, 20
– This does not align with the format (number of x values must equal y values), thus it