The equation represents the function f, and the graph represents the function g. f(x)=6x-5

A.

The rate of change of f is twice the rate of change of g.

B.

The rate of change of g is twice the rate of change of f.

C.

The rate of change of f is 3 times the rate of change of g.

D.

The rate of change of f is the same as the rate of change of g.

The equation represents the function f and the graph represents the function g fx6x5A The rate of change of f is twice the rate of change of gB The rate of chan class=

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Answer:

A. The rate of change of f is twice the rate of change of g.

Step-by-step explanation:

The first function is [tex]f(x)=6x-5[/tex]

The slope of this function is the coefficient of x. It is the same as the rate of change of f(x)

[tex]m=6[/tex]

From the graph, g(x) passes through(-2,-4) and (0,2)

We use the slope formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] to find the slope of g(x).

[tex]m=\frac{2--4}{0--2}=\frac{6}{2} =3[/tex]

Since 6=2(3), we conclude that, the rate of change of f is twice the rate of change of g.

Answer:

A

Step-by-step explanation: