Alone in Your Dim, Unheated Room You Light One Candle ${ } ^ { \circ } F$

question 37

Short Answer

Alone in your dim, unheated room you light one candle rather than curse the darkness.Disgusted by the mess, you walk directly away from the candle.The temperature (in ${ } ^ { \circ } F$ )and illumination (in % of one candle power)decrease as your distance (in feet)from the candle increases.The table below shows this information.
$\begin{array}{ccc}\text { distance(feet) } & \text { Temp. }\left({ }^{0} \mathrm{~F}\right) & \text { illumination } \\0 & 56 & 100 \\1 & 55.5 & 85 \\2 & 54.5 & 75 \\3 & 53 & 67 \\4 & 51 & 60 \\5 & 48 & 56 \\6 & 44 . 5& 53\end{array}$ What is the average rate at which the temperature is changing (in degrees per foot)when the illumination drops from 75% to 56%? Round to 2 decimal places.

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