A Cup of Coffee Is Initially At $150^{\circ} \mathrm{F}$ , Which Is

Multiple Choice

A cup of coffee is initially at $150^{\circ} \mathrm{F}$ , which is $80^{\circ} \mathrm{F}$ above room temperature. The difference between the coffee's temperature and the room's temperature decreases at the hourly rate of $80 \%$ . Which of the following formulas gives $T(t)$ , the coffee's temperature after $t$ hours have elapsed?

A) $T(t) =150+70(0.2) ^{t}$
B) $T(t) =80+70(0.2) ^{t}$
C) $T(t) =150+80(0.2) ^{t}$
D) $T(t) =70+80(0.2) ^{t}$