Question 1178344
This question relies on the linear decrease in temperature. When it was first taken out of the oven, or at T(0), it is 185°F. After 30 mins, it is now 150°F. Therefore, after 30 mins, it has decreased by 35°F. Every ten minutes, it decreases by 11.{{{2/3}}}°F. At T(50), which is 20 minutes later, it would of cooled by 23.3333...°F. 

a) The temperature at T(50) would be 126.666...°F.

The difference between 185°F and 105°F is 80°F. Every one minute, the turkey cools by 1.166...°F.