Find Measurement of the Side of a Square Floor Tile $\frac { 1 } { 78 }$

question 62

Multiple Choice

Find measurement of the side of a square floor tile is 14 inches, with a possible error of $\frac { 1 } { 78 }$ inch. Use differentials to approximate the possible propagated error in computing the area of the square.

• A) \(\pm \frac { 14 } { 117 }\) square inches
• B) \(\pm \frac { 7 } { 78 }\) square inches
• C) \(\pm \frac { 7 } { 39 }\) square inches
• D) \(\pm \frac { 14 } { 39 }\) square inches
• E) \(\pm \frac { 1 } { 156 }\) square inches

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Definitions:

Opportunity Cost

Missing potential benefits that could have been gained from unchosen options when deciding on one.

Production Possibilities

A graphical representation that shows the maximum combination of goods or services that can be produced with a fixed amount of resources.

Production Possibilities Frontier

A curve depicting all maximum output possibilities for two goods, given a set of inputs representing resource allocation.

Production Possibilities Frontier

A curve depicting all maximum output possibilities for two goods, given a set of inputs, representing the trade-offs of allocating resources between the production of those goods.