The functions:
[tex]\begin{gathered} f(x)=\frac{1}{3}x+9 \\ g(x)=3x-11 \end{gathered}[/tex]are linear functions. This means that they have the form:
[tex]f(x)=mx+b[/tex]where m is the slope (that represents the rate of change) of the function.
The function f has slope 1/3 and the function g has slope 3.
From this we notice that:
[tex]9\cdot\frac{1}{3}=\frac{9}{3}=3[/tex]Then we conclude that the function g grows at a rate nine times faster than f.
Therefore the correct statement is A.
