The Resistance $y$ In Ohms of 1000 Feet of Solid Metal Wire At Metal

question 31

Multiple Choice

The resistance $y$ in ohms of 1000 feet of solid metal wire at $77$ $F^{\circ}$ can be approximated by the model $y = \frac { 12,750 } { x ^ { 2 } } - 0.37,5 \leq x \leq 100$ , where $x$ is the diameter of the wire in mils $( 0.001$ in $)$ . If the diameter of the wire is doubled, the resistance is changed by approximately what factor? In determining your answer, you can ignore the constant $- 0.37$ .

• A) 3
• B) \(\frac { 1 } { 2 }\)
• C) 4
• D) \(\frac { 1 } { 4 }\)
• E) \(\frac { 1 } { 3 }\)

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