Which scatter plot represents the given data?
x 1 1 2 2 2.5 2.5 4 4 6
y 1.4 8 8.5 8.8 1.5 5.1 3.5 6.3 4
A. A scatter plot is shown on a coordinate plane. The graph is stepped by 1. The points are as follows.
left-parenthesis 1 comma 1 right-parenthesis, left-parenthesis 1 point 4 comma 2 point 5 right-parenthesis, left-parenthesis 2 point 2 comma 4 right-parenthesis, left-parenthesis 3 point 9 comma 6 right-parenthesis, left-parenthesis 5 comma 2 point 5 right-parenthesis, left-parenthesis 6 point 3 comma 4 right-parenthesis, left-parenthesis 7 point 9 comma 1 right-parenthesis, left-parenthesis 8 point 4 comma 2 right-parenthesis, and left-parenthesis 8 point 6 comma 2 right-parenthesis.
B. A scatter plot is shown on a coordinate plane. The graph is stepped by 1. The points are as follows.left-parenthesis 4 left-parenthesis 1 comma 6 point 3 right-parenthesis, left-parenthesis 2 comma 2 point 5 right-parenthesis, left-parenthesis 2 comma 5 point 1 right-parenthesis, left-parenthesis 2 point 5 comma 1 point 5 right-parenthesis, left-parenthesis 2 point 5 comma 8 point 5 right-parenthesis, left-parenthesis 4 comma 1 point 4 right-parenthesis, left-parenthesis 4 comma 8 point 8 right-parenthesis, and left-parenthesis 4 comma 8 right-parenthesis.
C. A scatter plot is shown on a coordinate plane. The graph is stepped by 1. The points are as follows.
left-parenthesis 1 point 4 comma 4 right-parenthesis, left-parenthesis 1 point 5 comma 2 point 5 right-parenthesis, left-parenthesis 3 point 1 comma 2 right-parenthesis, left-parenthesis 3 point 9 comma 1 right-parenthesis, left-parenthesis 5 comma 2 right-parenthesis, left-parenthesis 6 point 1 comma 1 right-parenthesis, left-parenthesis 8 comma 6 right-parenthesis, left-parenthesis 8 point 5 comma 2 point 5 right-parenthesis, and left-parenthesis 8 point 8 comma 4 right-parenthesis.
D. A scatter plot is shown on a coordinate plane. The graph is stepped by 1. The points are as follows.
left-parenthesis 1 comma 1 point 4 right-parenthesis, left-parenthesis 1 comma 8 right-parenthesis, left-parenthesis 2 point 8 comma 5 right-parenthesis, left-parenthesis 2 comma 8 point 8 right-parenthesis, left-parenthesis 2 point 5 comma 1 point 5 right-parenthesis, left-parenthesis 2 point 5 comma 5 point 1 right-parenthesis, left-parenthesis 4 comma 3 point 5 right-parenthesis, left-parenthesis 4 comma 6 point 3 right-parenthesis, and left-parenthesis 6 comma 4 right-parenthesis.
The scatter plot that represents the given data is option A.
To identify which scatter plot represents the given data, we need to compare the coordinates in the given scatter plots with the given data points.
The given data points are:
x: 1, 1, 2, 2, 2.5, 2.5, 4, 4, 6
y: 1.4, 8, 8.5, 8.8, 1.5, 5.1, 3.5, 6.3, 4
Let's go through each option and check if the scatter plot matches the given data.
Option A: (1, 1.4), (1.5, 2.5), (2.2, 4), (3.9, 6), (5.2, 2.5), (6.3, 4), (7.9, 1), (8.4, 2), (8.6, 2)
This option does not match the given data. (1.5, 2.5) and (5.2, 2.5) have been swapped.
Option B: (4.1, 6.3), (2, 2.5), (2, 5.1), (2.5, 1.5), (2.5, 8.5), (4, 1.4), (4, 8.8), (4, 8)
This option does not match the given data. (2.5, 1.5) is missing, and (4, 8) should be (4, 6.3).
Option C: (1.4, 4), (1.5, 2.5), (3.1, 2), (3.9, 1), (5, 2), (6.1, 1), (8, 6), (8.5, 2.5), (8.8, 4)
This option does not match the given data. (6.1, 1) and (8.8, 4) have been swapped.
Option D: (1, 1.4), (1, 8), (2.8, 5), (2, 8.8), (2.5, 1.5), (2.5, 5.1), (4, 3.5), (4, 6.3), (6, 4)
This option matches the given data exactly. All the coordinates correspond to the given data points.
Therefore, the scatter plot that represents the given data is Option D.
The scatter plot that represents the given data is option B.
The points are as follows:
(1, 4.1), (1.5, 2.5), (3.1, 2), (3.9, 1), (5, 2), (6.1, 1), (8, 6), (8.5, 2.5), and (8.8, 4).