Math  /  Algebra

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Which of the relationships below represents a function with a lesser rate of change than the function y=2x+4y=2 x+4 ?
A
C \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline 0 & -4 \\ \hline 4 & -20 \\ \hline 8 & -36 \\ \hline 12 & -52 \\ \hline \end{tabular}
B
D \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline-6 & -31 \\ \hline-2 & -7 \\ \hline 2 & 17 \\ \hline 6 & 41 \\ \hline \end{tabular}

Studdy Solution
Compare the slopes: - The slope of y=2x+4 y = 2x + 4 is 2 2 . - The slope of relationship C is 4 -4 . - The slope of relationship D is 6 6 .
Since 4<2 -4 < 2 , relationship C has a lesser rate of change than y=2x+4 y = 2x + 4 .
The relationship with a lesser rate of change is:
C \boxed{\text{C}}

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