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The graph below is used by company 2 to show the average monthly electric cost based on the electricity provider.

How could the graph be redrawn so that the difference in monthly electric cost does not appear as great?

A)The scale on the y-axis could be changed to 0–150.


B)The scale on the y-axis could be changed to 100–120.
C)The interval on the y-axis could be changed to count by 1s.
D)The interval on the y-axis could be changed to count by 20s.
The graph below is used by company 2 to show the average monthly electric cost based-example-1

1 Answer

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To minimize the perceived difference in monthly electric costs, change the y-axis intervals to count by 20s. This expands the y-axis range, making the cost variations appear less significant. Thus, the correct option is D.

The best option to redraw the graph so that the difference in monthly electric cost does not appear as great is to change the interval on the y-axis to count by 20s (option D).

This can be done by dividing the range of values on the y-axis (105-125) by 5, which is the number of intervals in the current graph. This gives us 20, which is the new interval size.

When we redraw the graph with a 20-unit interval on the y-axis, the difference between the three data points will appear smaller. This is because the y-axis will now have a greater range, which will make the difference between the data points seem less significant.

Option A (change the scale on the y-axis to 0-150) would make the difference between the data points appear greater, as the y-axis would now have a smaller range.

Option B (change the scale on the y-axis to 100-120) would make the difference between the data points appear smaller, but it would also be misleading, as the y-axis would not start at zero.

Option C (change the interval on the y-axis to count by 1s) would make the difference between the data points appear greater, as the y-axis would now have a much greater range.

Conclusion:

The best way to redraw the graph so that the difference in monthly electric cost does not appear as great is to change the interval on the y-axis to count by 20s (option D). This is because it will make the y-axis have a greater range, which will make the difference between the data points seem less significant.

So, the correct option is D:The interval on the y-axis could be changed to count by 20s.

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