First, we have to find the rate of change of the given function using the slope formula
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Let's replace the points (0, 3) and (1, 0), where
[tex]\begin{gathered} x_1=0 \\ x_2=1 \\ y_1=3 \\ y_2=0 \end{gathered}[/tex][tex]m=\frac{0-3}{1-0}=-3[/tex]The given function has a rate of change of -3.
Let's find the relationship with a lesser rate of change.
We can deduct that function C has a lesser rate because its rate is -6 which is less than -3.