Question

Find the constant rate of change for each table

Answer 1

the constant rate of change, or average rate of change, is just its slope, so we can just pick any two points to get it.

$\bf \begin{array}{|cc|ll}\cline{1-2}\stackrel{x}{time}&\stackrel{y}{distance}\\\cline{1-2}1&6\\\underline{2}&\underline{12}\\3&18\\\underline{4}&\underline{24}\\\cline{1-2}\end{array}~\hspace{7em}\begin{array}{llll}(\stackrel{x_1}{2}~,~\stackrel{y_1}{12})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{24})\\\\\\slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{24-12}{4-2}\\\\\\\cfrac{12}{2}\implies 6\end{array}$

Answer 2

That’s is right!!!!!!!!