## anonymous 4 years ago 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?

1. anonymous

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

2. anonymous

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

3. anonymous

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

4. anonymous

ok ill check it out right now, thanks alot

5. anonymous

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

6. anonymous

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