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When Food Is Placed in a Refrigerator, the Time Required 75F75 ^ { \circ } F

Question 101

Multiple Choice

When food is placed in a refrigerator, the time required for the food to cool depends on the amount of food, the air circulation in the refrigerator, the original temperature of the food, and the temperature of the refrigerator. One model for the temperature of food that starts at 75F75 ^ { \circ } F and is placed in a 40F40 ^ { \circ } F refrigerator is T=10(4t2+16t+75t2+4t+10) ,T = 10 \left( \frac { 4 t ^ { 2 } + 16 t + 75 } { t ^ { 2 } + 4 t + 10 } \right) , t0t \geq 0 where TT is the temperature (in degrees Fahrenheit) and tt is the time (in hours) . According to the model, after how many hours will the food reach a temperature of 66F?66 ^ { \circ } \mathrm { F } ?


A) after 4 hours
B) after 1 hour
C) after 3 hours
D) after 5 hours
E) after 2 hours

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