Suppose the temperature of a cup of tea in degrees Fahrenheit $t$ minutes after it has been poured may be modeled by the equation $T(t)=111 (0.92)^{t}+79$.

a) What is the temperature of the tea after 3 hours?
degrees Fahrenheit

b) How long does it take for the cup of tea to cool to 100 degrees?
minutes

c) What does each part of this equation mean?

$T(t)=\underbrace{111}_{A} (\underbrace{0.92}_{B})^{t}+\underbrace{79}_{C}$

A:

B:

C:

Hint: