Question 510638: A potato at room temperature of 20°C is placed in an oven whose temperature is 210°C. An hour later the temperature of a potato is 150°C. Under the (unreasonable) assumption that the potato's temperature is always uniform, how many minutes did it take the potato to reach 50°C?(Round your answer to one decimal place.)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A potato at room temperature of 20°C is placed in an oven whose temperature is 210°C. An hour later the temperature of a potato is 150°C. Under the (unreasonable) assumption that the potato's temperature is always uniform, how many minutes did it take the potato to reach 50°C?(Round your answer to one decimal place.)
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Two points relating time and termperature: (0,20) and (60,150)
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Slope: (150-20)/60 = 130/60 = 13/6
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intercept: 20
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Equation:
temp = (13/6)(time)+20
t(50) = (13/6)*50 + 20
t(50) = 128 1/3 degrees Centigrade
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Cheers,
Stan H.
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