SOLUTION: -I'm kind of stumped on this one. I know that I need to use newton law of cooling, but when I do it dosnt seem to work out right.- The hotel Bora-Bora is having a pig roast. At

Question 85269: -I'm kind of stumped on this one. I know that I need to use newton law of cooling, but when I do it dosnt seem to work out right.-
The hotel Bora-Bora is having a pig roast. At noon, the chef puts the pig in a large earthen oven. The pig's original temperature is 75 degrees F. At 2:00 PM the chef checked the pigs temperature and was upset because it had reached only 100 degrees F. If the oven's temperature remains a constant 325 degrees F, at what time may the hotel serve its guests, assuming that pork is done when it reaches 175 degrees F?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
At noon, the chef puts the pig in a large earthen oven. The pig's original temperature is 75 degrees F. At 2:00 PM the chef checked the pigs temperature and was upset because it had reached only 100 degrees F. If the oven's temperature remains a constant 325 degrees F, at what time may the hotel serve its guests, assuming that pork is done when it reaches 175 degrees F?
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You have two points: (0,75) and (2,100)
Find the equation relating temperature and time in the oven.
slope = [100-75]/[2-0] = 25/2 = 12.5
intercept: 75 = 12.5*0+b; b=75
EQUATION:
temperature = 12.5x +75
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When will the temp be 175?
12.5x+75 = 175
12.5x = 100
x= 8 hours
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Pork will be ready at 8:00 PM
================
Cheers,
Stan H.

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