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The rate of change, that is the slope, is calculated for function A as follows;


\begin{gathered} m=(y2-y1)/(x2-x1) \\ m=(0-5)/(2.5-1.5) \\ m=(-5)/(1) \\ m=-5 \end{gathered}

The slope for function B, which is given in slope intercept form as;


\begin{gathered} y=-4.5x+15 \\ \text{The slope is the coefficient of x and that is -4.5} \end{gathered}

The correct answer is option D

Function B has a greater rate of change, because -4.5 is of higher value than -5

User Thomas Pinetz
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