The maximum no$-$compression dive times for open$-$water scuba diving with air$-$filled tanks can be modeled as

t$($x$)=286\mathrm{.}93(0\mathrm{.}9738$x$)$ minutes

of dive time where x feet is the depth of the dive, $50$ x $120.$

$($a$)$ What is the maximum length of time for a dive at a depth of $50$ feet? $($Round your answer to the nearest whole number.$)$

min

What is the maximum length of time for a dive at depth of $70$ feet? $($Round your answer to the nearest whole number.$)$

min

$($b$)$ What is the maximum depth possible in a dive of $25$ minutes? $($Round your ans