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

Multiple Choice

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. $\begin{array}{ccc}\text { distance(feet) } & \text { Temp. }(\mathbf{F}) & \begin{array}{c}\text { illuminatiou } \\(\%) \end{array} \\0 & 55 & 100 \\1 & 54.5 & 85 \\2 & 53.5 & 75 \\3 & 52 & 67 \\4 & 50 & 60 \\5 & 47 & 56 \\6 & 43.5 & 53\end{array}$
You are cold when the temperature is below 40°F.You are in the dark when the illumination is at most 50% of one candle power.Suppose you know that at 6 feet the instantaneous rate of change of the temperature is -4.5° F/ft and the instantaneous rate of change of illumination is -3% candle power/ft.Are you in the dark before you are cold, or cold before you are dark?

A) You are cold before you are in the dark.
B) You are in the dark before you are cold.