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Which is the rate of change for the interval between 2

and 6 on the x-axis?
○-3
O
O
wh
13
• 3

1 Answer

4 votes

Final answer:

The rate of change for the interval between 2 and 6 on the x-axis is 3, which represents the slope of the line in the mentioned interval.

Step-by-step explanation:

The question pertains to the rate of change on a graph over a specific interval, which is essentially the slope of the line segment on the graph between x=2 and x=6.

The slope is calculated by taking the difference in y-values (rise) divided by the difference in x-values (run) over the interval.

Given that the slope is the same all along a straight line, as suggested in one of the figures provided, the rate of change (slope) would be 3.

This is because for every increase of 1 on the horizontal axis (x-axis), there is a rise of 3 on the vertical axis (y-axis). Therefore, for the interval between 2 and 6 on the x-axis, the rate of change would be 3.

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