Respuesta :

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

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