A professor considers rideshare options for their campus commute and learns that the average per$-$mile cost of a rideshare is $$2\mathrm{.}50.$ Unfortunately, they would need to buy one of those fancy smartphones for an annual cost of $$1,000.$ Their alternative to being a passenger on the way to campus is driving, and they learn they could purchase a mid$-$engine Corvette for $$120,000.$ How many miles would they have to drive to be indifferent between rideshare services and owning their own vehicle to commute to campus?

$32,800$

$38,500$

$42,400$

$47,600$