Answer:
A
Step-by-step explanation:
The rate of change for the table is found using the slope formula. The rate of change for the linear function is the coefficient of x.
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table
The slope formula tells us the rate of change is ...
m = (y2 -y1)/(x2 -x1)
m = (-9 -(-10))/(-1 -(-4)) = 1/3
equation
The coefficient of x in the equations of the offered answer choices are 1/4 and 6.
comparison
The relations between the various slopes are ...
1/4 < 1/3 < 6
That is, the equation with a slope of 1/4 has a rate of change less than that of the function represented by the table:
y = 1/4x +4 because ... table of values is 1/3
