The given function with a constant rate of change that equals -3 is: 2y = -6x + 10.
What is Constant Rate of Change?
The constant rate of change of a function = change in y / change in x. Given an equation of a function in slope-intercept form, y = mx + b, the constant rate of change is represented as m.
1. Constant rate of change of the function on the table using two pairs of values, (0, 2) and (1, 5) is:
(5 - 2)/(1 - 0) = 3/1
Constant rate of change = 3.
2. Constant rate of change of the function of the set of ordered pairs using two pairs of values, (4, 4) and (2, 2) is:
(4 - 2)/(4 - 2) = 2/2
Constant rate of change = 1.
3. Constant rate of change of the graphed function using two points on the line, (1, 1) and (0, 3) is:
(3 - 1)/(0 - 1) = 2/-1
Constant rate of change = -2.
4. Constant rate of change of the function 2y = -6x + 10:
Rewrite the equation in slope-intercept form
2y/2 = -6x/2 + 10/2
y = -3x + 5
Constant rate of change = -3.
Therefore, the function with a constant rate of change is: 4. 2y = -6x + 10
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