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On a Hot Day, the Air Conditioner in a House [0,60][0,60]

Question 83

Essay

On a hot day, the air conditioner in a house quits working and the house begins to heat up. Graph each of the following functions on the interval [0,60][0,60] . Use [0,100][0,100] for the range of A(t)A(t) . Use a graphing calculator to determine the function that best describes the temperature of the house A(t)A(t) (in degrees Fahrenheit) tt minutes after the air conditioner quits, if the initial temperature of the house was 70 degrees Fahrenheit.
(a) A(t)=10030e.01tA(t)=100-30 e^{-.01 t}
(b) A(t)=70ln(.09t+1)A(t)=70 \ln (.09 t+1)
(c) A(t)=.03t2+70A(t)=-.03 t^{2}+70
(d) A(t)=10030e.009tA(t)=100-30 e^{.009 t}

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