The rate of change in the function y=x+4 is________ the rate of change of the function represented in the table.A) greater thanB) less thanC) equal tox/y0/62/84/106/12

recall that the slope is the "average rate of change" of any function.

[tex]\bf y=\stackrel{slope}{1}x+4\qquad \qquad \begin{array}{ccll} x&y\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 0&6\\2&8\\4&10\\6&12 \end{array} \\\\\\ \textit{let's check what is the slope of the tabled function}\\ \textit{by using two points from it}[/tex]

[tex]\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ 2}}\quad ,&{{ 8}})\quad % (c,d) &({{ 6}}\quad ,&{{ 12}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{12-8}{6-2}\implies \cfrac{4}{4}\implies 1[/tex]