Respuesta :

texaschic101
the rate of change is the slope.
f(x) is the same as y...
f(x) = 3x + 9.....y = 3x + 9....and in y = mx + b form, the rate of change(slope) can be found in the m position.

y = mx + b
y = 3x + 9....so the slope or rate of change is 3...not 9...so answer is false

The given statement is false because the rate of change of [tex]f(x)[/tex] is 3.

Given:

The given statement is "The rate of change of [tex]f(x)=3x+9[/tex] is 9.

To find:

Whether the given statement is true or false.

Explanation:

The slope intercept form of a linear function is:

[tex]f(x)=mx+b[/tex]         ...(i)

Where [tex]m[/tex] is the slope or average rate of change and [tex]b[/tex] is the [tex]y[/tex]-intercept.

The given function is:

[tex]f(x)=3x+9[/tex]         ...(ii)

On comparing (i) and (ii), we get

[tex]m=3[/tex]

Therefore, the rate of change of [tex]f(x)[/tex] is 3 and the given statement is false.

Learn more:

https://brainly.com/question/4482166