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put this solution on YOUR website!A roasted turkey is taken from an oven when its temperature has reached 185oF and is placed on a table in a room where the temperature is 75oF.
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You have 1 point relating time and temperature:
(0,185)
a) If the temperature of the turkey is 150oF after half an hour, what is its temperature after 40 min?
You now have a 2nd point relating time and termperature:
(30,150)
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Find the equation relating time and temp:
intercept = 185
slope + (185-150)/(0-30) = -35/30 = -7/6
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Equation: f(t) = (-7/6)t+185
what is its temperature after 40 min?
f(40) = (-7/6)(40)+185 = 138.33 degrees Farenheit
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b) When will the turkey cool to 90oF?
90 = (-7/6)t+185
(-7/6)t = -95
t = 85.43 minutes
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Cheers,
Stan H.
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