Question

The temperature T of an object in degrees Fahrenheit after t minutes is represented by the equation

T(t) = 64e^ −0.0174t + 77.
To the nearest degree, what is the temperature of the object after one and a half hours?

Answer 1

To solve this problem, we need to first convert 1.5 hours to minutes. There are 60 minutes in one hour, so 1.5 hours is equivalent to 1.5 * 60 = 90 minutes.

We can then plug this value for t into the equation T(t) = 64e^−0.0174t + 77 to find the temperature of the object after 90 minutes:

T(90) = 64e^−0.0174(90) + 77
T(90) = 64e^−1.566 + 77
T(90) = 64(0.212) + 77
T(90) ≈ 71

To the nearest degree, the temperature of the object after 1.5 hours is 71 degrees Fahrenheit.