If $112$ Japanese yen purchased $$1\mathrm{.}00$ U$.$S$,$ in $2008$ and $83$ Japanese yen purchased $$1\mathrm{.}00$ U$.$S$.$ in $2009.$ then:

A the dollar depreciated against the yen.

B$.$ the dollar appreciated against the yen.

C$.$ the yen depreciated against the dollar.

D$.$ the yen weakened against the dollar.