To find the rate of change between the points given, you can use the formula for the rate of change, which is the difference in the \(y\)-values divided by the difference in the \(x\)-values between two points.
Let's calculate the rate of change between two consecutive points:
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Between (5,0) and (7,1): \[ \text{Rate of change} = \frac{1 - 0}{7 - 5} = \frac{1}{2} = 0.5 \]
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Between (7,1) and (9,2): \[ \text{Rate of change} = \frac{2 - 1}{9 - 7} = \frac{1}{2} = 0.5 \]
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Between (9,2) and (11,3): \[ \text{Rate of change} = \frac{3 - 2}{11 - 9} = \frac{1}{2} = 0.5 \]
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Between (11,3) and (13,4): \[ \text{Rate of change} = \frac{4 - 3}{13 - 11} = \frac{1}{2} = 0.5 \]
The rate of change is consistent between all the points, and it is \(0.5\). Therefore, the overall rate of change for the values provided is \(0.5\).