To determine which of the following is the scatter plot of the data given, let's examine the details within each option and compare them to the set of points we have:
The points are:
- (8,8)
- (4, 10)
- (1, 14)
- (6, 12)
- (10, 10)
- (10.5, 9)
- (12, 14)
Now let's examine each option:
a. Since the option label and values are not clear or complete, we cannot analyze this properly. We'll move on to the next option.
b. We see a coordinate system with both the x-axis and y-axis labeled from 0 to 18. However, without knowing where the points are, we cannot determine if this is the correct scatter plot.
c. Similar to the above cases, there's no clear label of points on the plot. We need specific locations where the points are plotted to make a determination.
d. Again, as before, the graph only shows the axes without any points.
Given that none of the options provide a clear location for the points, you would look for the following patterns to identify the correct scatter plot that would match the provided data:
- Points should be distributed across the graph where the x and y values correspond to those in the dataset.
- The point (1, 14) will be towards the left and near the top of the plot.
- The point (12, 14) will be further to the right but at the same vertical level as (1, 14).
- The point (8, 8) would be somewhere in the middle, with equal x and y values.
- The points (10, 10) and (10.5, 9) will be close together with (10.5, 9) being slightly to the right and below (10, 10).
Without being able to see the actual points plotted on the options provided, it's not possible to definitively determine which scatter plot is correct. In a well-labeled scatter plot, you're looking for the distribution of points in a way that matches the given (x, y) coordinates exactly.
