Answer:
Explanation:
To determine the appropriate scale for the x- and y-axes of the graph, we need to consider the range of values for each coordinate.
Let's look at the x-coordinates: 125, 50, -37.5, 125, and 75. The largest value is 125, and the smallest value is -37.5. The range of x-values is 125 - (-37.5) = 162.5.
Now, let's consider the y-coordinates: 10, 15, -120, 25, and 130. The largest value is 130, and the smallest value is -120. The range of y-values is 130 - (-120) = 250.
To determine the appropriate scale on the x-axis, we need to divide the range of x-values (162.5) by the number of units we want to represent on the x-axis. Similarly, for the y-axis, we divide the range of y-values (250) by the number of units we want to represent on the y-axis.
The appropriate scale for the x-axis depends on the desired level of detail in the graph. If we want a larger scale, with fewer units on the x-axis, we can choose a number like 50. In this case, we would divide the range of x-values (162.5) by 50, which gives us approximately 3.25. So, each unit on the x-axis would represent approximately 3.25.
Similarly, for the y-axis, if we want a larger scale, we can choose a number like 50. Dividing the range of y-values (250) by 50 gives us 5, so each unit on the y-axis would represent 5.
Alternatively, if we want a smaller scale with more units on the x-axis and y-axis, we can choose a smaller number. For example, if we choose 25 for both the x-axis and y-axis, each unit on both axes would represent approximately 1.3 and 2, respectively.
Ultimately, the choice of scale on the x- and y-axes depends on the desired level of detail and the range of values in the given data points.