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Answer:
Function B > Function A > Function C
Step-by-step explanation:
For function A,
From the given table,
Two points are (3, 3) and (5, 7).
Rate of change of the function between these points = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{7-3}{5-3}[/tex]
= 2
For function B,
Rate of change = [tex]\frac{\triangle y}{\triangle x}[/tex]
Here, Δy = y-intercept = 3
And Δx = x-intercept = -5
Therefore, rate of change = [tex]\frac{3}{-5}[/tex]
= -0.6
For function C,
Equation of the line → y = 3x + 1
By comparing this equation with slope-intercept form of the equation,
y = mx + b
Slope of the line = m = 3
Rate of change = 3
Now we can write the rate of changes of each function from least to greatest.
-0.6 > 2 > 3
Function B > Function A > Function C