The resistance y (in ohms) of 1000 feet of solid copper wire at 68 degrees Fahrenheit is
Question:
y = 10,370 / x2 where x is the diameter of the wire in mils (0.001 inch).
(a) Complete the table.
(b) Use the table of values in part (a) to sketch a graph of the model. Then use your graph to estimate the resistance when x = 85.5.
(c) Use the model to confirm algebraically the estimate you found in part (b).
(d) What can you conclude about the relationship between the diameter of the copper wire and the resistance?
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5 10 20 30 40 | 50 y 60 70 80 | 90 100 y
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1 a b When x 855 the resistance is about 14 ohms c ...View the full answer
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