Question

A cold beer initially at 33°F warms up to 38°F in 3 min while sitting in a room of temperature 70°F. How warm will the beer be if left out for 18 min?

Answer 1

using Malthusian law, i keep getting 76.9 but its wrong -.-

Answer 2

ok the initial difference in temperature is
\[70-33=37\] after 3 minutes it is
\[70-38=32\] degrees so you can use
\[37\times (\frac{32}{37})^{\frac{t}{3}}\] for the temperature difference after t minutes

Answer 3

try
\[37(\frac{32}{37})^{6}\] and see what you get.

Answer 4

ok ill check it out right now, thanks alot

Answer 5

i get about 15.54 as the differnce between the room and the beer, making the beer 70 - 15.54 = 54.46 rounded

Answer 6

yea thats the answer, im going to walk my self through the logic. Thanks for the info