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

question 5

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 $75 ^ { \circ } F$ and is placed in a $40 ^ { \circ } F$ refrigerator is $T = 10 \left( \frac { 4 t ^ { 2 } + 16 t + 75 } { t ^ { 2 } + 4 t + 10 } \right) ,$ $t \geq 0$ where $T$ is the temperature (in degrees Fahrenheit) and $t$ is the time (in hours) . According to the model, after how many hours will the food reach a temperature of $66 ^ { \circ } \mathrm { F } ?$

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