This phenomenon is modeled with a differential equation, and that equation may be solved to give
T(t) = TA + [T0 − TA]b
t
where T(t) is the varying temperature of the object at a
given time, t, TA is the surrounding ambient temperature,
T0 is the initial temperature of the object, and b is a
constant that depends on the material the object is
composed of and how fast it heats or cools.

Suppose you decided to make a cup of hot tea
heated to 220 degrees F in the kitchen that is at 70 degrees F.

1.Solve the above equation for the constant b.