Question 1206531
{{{ x}}} | {{{ f(x)}}}
{{{ 2}}} |{{{ 39}}}
{{{ 3}}} |{{{ 125}}}
{{{ 4}}}| {{{ 287}}}
{{{ 5}}} |{{{ 549}}}
{{{ 6 }}}|{{{ 935}}}
{{{ 7}}} |{{{ 1469}}}


The average rate of change is Δy/Δx.

On the interval [{{{ 4}}},{{{  7}}}]:

{{{ (1469 - 287) / (7 - 4) = 394}}}


On the interval of [{{{ 2}}}, {{{ 5}}}]:

{{{ (549 - 39) / (5 - 2) = 170}}}

{{{ 394-170=170}}}

answer:  the average rate of change over the interval [{{{ 4}}},{{{  7}}}] is {{{ twice}}} the average rate of change  of  the interval [{{{ 2}}},{{{  5}}}]