Analysis
To find the slope from the table, we can use the formula for slope, which is:
slope = (change in y) / (change in x)
Let's calculate the changes in y and x for consecutive data points in the table:
For the first two points (8, 2) and (12, 3):
change in y = 3 - 2 = 1
change in x = 12 - 8 = 4
For the next two points (12, 3) and (16, 4):
change in y = 4 - 3 = 1
change in x = 16 - 12 = 4
Now, let's calculate the slope:
slope = (change in y) / (change in x)
For all the intervals: slope = 1 / 4 = 1/4
As we can see, the slope is the same (1/4) for all the intervals in the given table.
Therefore, the correct answer is A. The slope from the table is
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