In $1964$ the average tuition for one year at an Ivy League school was $$1,853.35$ years later, in $1999,$ the average cost was $$15,142.$

What was the growth rate in tuition over the $35-$year period?

$5\mathrm{.}79\%$

$6\mathrm{.}19\%$

$5\mathrm{.}59\%$

$5\mathrm{.}99\%$

$6\mathrm{.}39\%$