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.