The rate of change, that is the slope, is calculated for function A as follows;
[tex]\begin{gathered} m=\frac{y2-y1}{x2-x1} \\ m=\frac{0-5}{2.5-1.5} \\ m=\frac{-5}{1} \\ m=-5 \end{gathered}[/tex]The slope for function B, which is given in slope intercept form as;
[tex]\begin{gathered} y=-4.5x+15 \\ \text{The slope is the coefficient of x and that is -4.5} \end{gathered}[/tex]The correct answer is option D
Function B has a greater rate of change, because -4.5 is of higher value than -5
