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The table shows the resistances of a coil of copper wire at various temperatures. Does the table relating temperature and resistance represent a linear pattern? Explain your reasoning.
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Use a spreadsheet to analyze the data in the table.
The data does represent a linear pattern because the first differences are equal.
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The table shows the resistances of a coil of copper wire at various temperatures. Use a spreadsheet to graph the data. Is the graph linear?
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The table shows the resistances of a coil of copper wire at various temperatures. Find the resistance of the coil when the temperature is 30°C.
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Extend the spreadsheet to a temperature of 30 degrees Celsius. The resistance is 103.8 ohms.
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The table shows the resistances of a coil of copper wire at various temperatures. Find the resistance of the coil when the temperature is 48°C.
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The table shows the resistances of a coil of copper wire for various lengths. Is the length of the wire proportional to its resistance? Make a scatter plot of the data to verify your answer.
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Because the resistance is 0.017 times the length of the wire, the resistance of the wire is proportional to the length of the wire. Use a spreadsheet to make a scatter plot of the data.
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The table shows the resistances of a coil of copper wire for various lengths. Extend the pattern in the table to find the resistance for each length of the copper wire.
- 26 meters
- 28 meters
- 30 meters
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Electric current is proportional to voltage.
Suppose a wire connected to a 3-volt battery has a current of 15 amperes. What is the current when the wire is connected to a 9-volt battery?
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Knowing that current is proportional to voltage and also knowing that a 3-volt battery has a current of 15 amps, you can make the following spreadsheet.
From the spreadsheet, you can see that a 9-volt battery has a current of 45 amps.
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Electric current is proportional to voltage.
Suppose a wire connected to a 1.5-volt battery has a current of 20 amperes. What is the current when the wire is connected to a 4.5-volt battery?
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