[tex]\begin{gathered} \text{for f(X),} \\ \text{slope form interval 3 to 5 = }\frac{\text{cahnge in f(x) from 3 to 5}}{\text{change in x from 3 to 5}}=\text{ }\frac{71-59}{5-3}=\frac{12}{2}=\text{ 6} \\ \\ \text{for g(x), } \\ \text{slope from interval 3 to 5 = }\frac{\text{change in g(x) from 3 to 5}}{\text{chang}e\text{ in x from 3 to 5}}=\text{ }\frac{-41-(-53)}{5-3}\text{ = }\frac{12}{2}=\text{ 6} \\ \sin ce\text{ both f(x) and g(X) have same slope from 3 to 5, their average rate of change are thesame} \end{gathered}[/tex]
