Question

A potato is taken from the oven, its temperature having reached 350 degrees. After sitting on a plate in a 70 degree room for 12 minutes, its temperature has dropped to 250 degrees. If Ted will only eat his potato if its between 100 and 150 degrees, will he eat the potato if he arrives home for dinner 20 minutes after the potato came out of the oven? Show all your work and EXPLAIN YOUR REASONING. RATIONALIZE YOUR ANSWER! Assume Newton's Law Of Cooling, which says that the difference between an object's temperature and the ambient temperature is an exponential function of time.

Answer 1

rawr.... please help me, i need to finish this TONIGHT

Answer 2

only information i have for the equation \[y=ab ^{x}\]

Answer 3

does it define a or b ?

Answer 4

im not sure

Answer 5

dumb teacher gave this to us without explaining, its already a late assignment and its graded

Answer 6

Is this a differential equations class? Because if I'm remembering correctly--Newtons Law of Cooling is a DiffEQ

Answer 7

-_- im in Pre-calculus

Answer 8

ive never even heard of differential equations before

Answer 9

our teacher is nuts

Answer 10

This is a really annoying question... lol

Answer 11

you see my problem? and ive never seen anything like this before

Answer 12

Ive seen lots of things similar to this--but usually they give more information as to wtf they are talking about, lol.
And I know the real Newton's Law of Cooling--and it isn't useful at all for this

Answer 13

we are only barely starting to learn logarithms

Answer 14

ergh
only thing i could figure out, is that b=280

Answer 15

my bad, a=280
not b

Answer 16

if you make that the case you end up with a really messy eqn...
y=a*b^x
y=280*b^x
up in the question it says its an exponential function of time... meaning
250=280*b^12
you are gonna get something really disgusting for b.

Answer 17

i think its something like .96

Answer 18

of course, if you make it b... it isn't quite as bad
250=a*280^12
a is just gonna be a really small number

Answer 19

250=280*b^12
b=-0.9906003
or
b=0.9906003
but showing your work is gonna be lame.

Answer 20

http://www.wolframalpha.com/input/?i=solve+250%3D280*b%5E12

Answer 21

rawr, i found that a was a=280 like this
difference in temperature from intial
intial temp=350 time=0
average temp=70
diiference in temp =280
x would be time and y would be the diference in temp
plugin ---> 280=ab^0 ---> (becomes) 280=a cuz anynumber with an exponent of 0 is = to 1

Answer 22

whatever, i give up, my whole thing is messed up
ill just get an F

Answer 23

too much of a pain