Answer
$\$935.50$ per year
Work Step by Step
To find the average rate of increase, solve for the increase in in the average room, board, and tuition then divide it by the time in years.
Increase in Average room, board, and tuition = $\$(21,189-17,447) =\$3,742$
Time = $2010 - 2006=4$ years
Divide the increase in room, board and tuition by the number of years to obtain:
Average Annual Increase = $\dfrac{\$3,742}{4\text{ years}}= \$935.50$ per year