Question

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.

Answer 1

A

Explanation:

Answer 2

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

Explanation:

The first function is
`f(x)=6x-5`

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

`m=6`

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

We use the slope formula:
`(y_2-y_1)/(x_2-x_1)` to find the slope of g(x).

`m=(2--4)/(0--2)=(6)/(2) =3`

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