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To compare the rates of change for the two linear functions, we can calculate the slope of each function.
For Linear Function 1:
y = x + 8
has a slope of 1, because the coefficient of x is 1.
For Linear Function 2:
Using the two points given (2,6) and (4,10), we can calculate the slope as follows:
Slope = (change in y) / (change in x)
= (10-6) / (4-2)
= 4 / 2
= 2
So, Linear Function 2 has a greater rate of change (slope) than Linear Function 1.
Choose 2 for Linear Function 2.