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

question 57

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.
$\begin{array}{ccc}\text { distance(feet) } & \text { Temp. }(\mathbf{F}) & \begin{array}{c}\text { illuminatiou } \\(\%)\end{array} \\0 & 55 & 100 \\1 & 54.5 & 85 \\2 & 53.5 & 75 \\3 & 52 & 67 \\4 & 50 & 60 \\5 & 47 & 56 \\6 & 43.5 & 53\end{array}$ Suppose you know that at 6 feet the instantaneous rate of change of the illumination is -3.5 % candle power/ft.At 7 feet, the illumination is approximately _____ % candle power.

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Definitions:

Self-Serving Bias

The common tendency to attribute one's successes to personal factors and one's failures to external factors.

Unrealistically High

Describes expectations or standards that are excessively beyond what is achievable or reasonable.

Aggressively

In a manner that is forceful, energetic, or determined, often aiming to dominate or assert oneself.

Criticism

The expression of disapproval of someone or something based on perceived faults or mistakes.