Answer: A) Greater than
The equation y = 2x+5 has a greater rate of change compared to the table.
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Pick any two points from the table. I'm going to pick the first two rows so I picked (-1,0) and (2,3) as the two points. From here, the idea is to use the slope formula
m = (y2 - y1)/(x2 - x1)
m = (3-0)/(2 - (-1))
m = (3 - 0)/(2 + 1)
m = 3/3
m = 1
The slope of the line going through all of the points shown in the table is m = 1. So the rate of change for the table is also 1.
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The slope of y = 2x+5 is m = 2. The equation y = 2x+5 is in the form y = mx+b. So the rate of change for y = 2x+5 is 2.
Comparing the table's rate of change to the equation's rate of change, we see that the equation's rate of change is larger.
