Question

A roasted turkey is taken from an oven when its temperature has reached 185° Fahrenheit and is placed on a table in a room where the temperature is 75° Fahrenheit. Provide your answers accurate to at least 2 decimal places. (a) If the temperature of the turkey is 146° Fahrenheit after half an hour, what is its temperature after 45 minutes? Fahrenheit (b) When will the turkey cool to 100° Fahrenheit? hours. ​

Answer 1

Explanation:

a the rate of changes = (185-146)/30

= 1.3° /minutes.

after 45 minutes = 1.3 ×45 = 58.5°

so, the temperature = 185 - 58.5

= 126.50°F

b. the time to reach 100°F =

(185-100)/ (1.3)

= 85/(1.3) = 65.38

after 65.38 minutes