Question

X- Y-

1. 2
2. 3.
3. 4
4. 5.
The rate of change for the interval shown in the table is A.constant or B. Non constant, so the function is an A. Linear or B. Non linear

Answer 1

Each time x goes up by 1, y also goes up by 1 as well.

slope = rise/run = 1/1 = 1

Or we can use the slope formula to get

m = (y2-y1)/(x2-x1) = (3-2)/(2-1) = 1/1 = 1

I used the first two rows as the points to plug into the slope formula.

You can pick any two rows you want and you'll get the same slope value.

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Because we get the same result of 1 each time, this means the rate of change is constant and this function is linear. Plotting all four points will show a single straight line goes through all of them. See diagram below.