Question

The temperature T of an object in degrees Fahrenheit after t minutes is represented by the equation T(t) = 69e−0.0174t + 79. To the nearest degree, what is the temperature of the object after one and a half hours?

Answer 1

Answer: T(90) = 93.413 F

Step-by-step explanation:

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

T(t) = 69e−0.0174t + 79.

T is the dependent variable while t is the independent variable. To determine any value for Temperature, we will input the corresponding value for time into the function.

We want to determine the temperature of the object after one and a half hours. This means that we have to convert one and a half hours to minutes

1f 1 hour = 60 minutes

Then 1.5 hours = 1.5 × 60 = 90 minutes.

We would substitute t = 90 minutes into the equation, it becomes

T(90) = 69e−0.0174×90 + 79

T(90) = 69e−1.566 + 79

T(90) = 14.413 + 79

T(90) = 93.413 F