Question

Please help :)
what is the average rate of change for the interval from x=3 to x=5 ?

Answer 1

`\bf \begin{array}cc \cline{1-2} x&y\\ \cline{1-2} 0&1\\ 1&3\\ 2&9\\ \underline{3}&\underline{27}\\ 4&64\\ \underline{5}&\underline{125}\\ 6&216 \\ \cline{1-2} \end{array}~\hfill \begin{array}{llll} slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}`

`\bf \begin{cases} x_1=3\\ x_2=5 \end{cases}\implies \cfrac{f(5)-f(3)}{5-3}\implies \cfrac{125-27}{2}\implies \cfrac{98}{2}\implies 49`

Answer 2

c, 49

Explanation:

y2-y1/x2-x1

125-27/5-3

98/2

49