MM
Mashaal Masha
Feb 25, 2024
Kao measured the temperature of a cup of hot chocolate placed in a room with a constant temperature of 70 degrees Fahrenheit (${}^{\circ}$F). The temperature of the hot chocolate was 185${}^{\circ}$F at 6:00 p.m. when it started cooling. The temperature of the hot chocolate was 156${}^{\circ}$F at 6:05 p.m. and 135${}^{\circ}$F at 6:10 p.m. The hot chocolate's temperature continued to decrease. Of the following functions, which best models the temperature $T(m)$, in degrees Fahrenheit, of Kao's hot chocolate $m$ minutes after it started cooling?
Difficulty: Hard
A:

$T(m)=185(1.25)^{m}$

B:

$T(m)=185(0.85)^{m}$

C:

$T(m)=(185-70)(0.75)^{\frac{m}{5}}$

D:

$T(m)=70+115(0.75)^{\frac{m}{5}}$

ID: 65dadaab72be60754a732728