Question

In: Advanced Math

For the following exercises, use this scenario: A turkey is taken out of the oven with an internal temperature of 165° Fahrenheit and is allowed to cool in a 75° F...

For the following exercises, use this scenario: A turkey is taken out of the oven with an internal temperature of 165° Fahrenheit and is allowed to cool in a 75° F room. After half an hour, the internal temperature of the turkey is 145° F.

To the nearest degree, what will the temperature be after 50 minutes?

Solutions

Expert Solution

Consider that a turkey is taken out of the oven with an internal temperature of 165°F and allowed to cool in a 75°F room. After 30 minutes the internal temperature of the turkey was145°F.

 

The internal temperature of the turkey after t minutes is

T(t) = 90e-0.0084t + 75

Put t = 50

 

So,

T(50) = 90e-0.0084(50) + 75

          = 90(0.657047) + 75

          ≈ 134

 

Hence, after 50 minutes the internal temperature of the turkey will be 134°F.


Hence, after 50 minutes the internal temperature of the turkey will be 134°F.

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