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:

Marginal Analysis

An examination of the additional benefits of an activity compared to the additional costs incurred by that same activity, emphasizing decisions at the margin.

Scarce

A term describing the limited availability of resources relative to the wants and needs for them, leading to the necessity of making economic choices.

Additional Benefit

An additional benefit refers to extra advantages or perks that come from using a product or engaging in an activity, beyond the primary gains.

Additional Cost

The extra cost that is incurred when an economic agent decides to increase the level of an activity or purchase.