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When Leftover Food Is Placed in a Refrigerator Following a Meal

Question 62

Essay

When leftover food is placed in a refrigerator following a meal, the temperature of the food decreases. Graph each of the following functions on the interval [0,50][0,50] . 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 food A(t)A(t) (in degrees Fahrenheit) tt minutes after it is placed in the refrigerator, if the initial temperature of the food was 90 degrees Fahrenheit.
(a) A(t)=.1t2+2t+90A(t)=-.1 t^{2}+2 t+90
(b) A(t)=35+55e.04tA(t)=35+55 e^{-.04 t}
(c) A(t)=90ln(.05t+1)A(t)=90 \ln (.05 t+1)
(d) A(t)=35+e.09tA(t)=35+e^{.09 t}

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