Math  /  Algebra

QuestionThe graph of a function is shown on the coordinate plane below.
Which relationship represents a function with a lesser rate of change than the function graphed?
A \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline-4 & -9 \\ \hline 0 & -4 \\ \hline 4 & 1 \\ \hline 8 & 6 \\ \hline \end{tabular}
C \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline 3 & -14 \\ \hline 6 & -26 \\ \hline 9 & -38 \\ \hline 12 & -50 \\ \hline \end{tabular}
B y=6x3y=-6 x-3
D y=3x+2y=3 x+2

Studdy Solution
Compare the slopes: - Given graph slope: 2-2 - Relationship A slope: 54\frac{5}{4} - Relationship B slope: 6-6 - Relationship C slope: 4-4 - Relationship D slope: 33
The relationship with a lesser rate of change than 2-2 is Relationship A with a slope of 54\frac{5}{4}.
The relationship with a lesser rate of change is:
A \boxed{A}

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