Which is a counterexample that shows the statement is false? If you square a number, then the answer is greater than the number.
1 answer:
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You can use the given data and points to form equation of lines. And use them to find the slope(the constant of variation)
The function that has the greatest constant of variation is of function B
Option B: B
<h3>How to get the slope intercept form of a straight line equation?</h3>If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as:
Suppose the given points are and
, then the equation of the straight line joining both two points is given by
Thus, comparing it with slope intercept form y = mx + c, we get
Calculating slope of all functions one by one
- Function A:
x = 8,9,10,11, and y = 20, 22.5, 25, 27.5
Two points (8,20), (9, 22.5) are enough.
The slope is
- Function B:
x = 1, 2, 3, 4 and y = 3.2, 6.4, 9.6, 12.8
Two points (1,3.2), (2,6.4) are enough.
The slope is
- Function C:
Two points are (0,0,), (3,1)
The slope is
- Function D:
Two points are (0,0), (1,2)
The slope is
Thus, the biggest constant of variation is of function B.
Option B: B
Learn more about constant of variation here: