document.write( "Question 824129: Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 7 hours of burning, a candle has a height of 22.8centimeters. After 21 hours of burning, its height is14.4 centimeters. What is the height of the candle after 12 hours? \n" ); document.write( "
Algebra.Com's Answer #496115 by josgarithmetic(39618)\"\" \"About 
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This same question has occurred a few weeks ago.\r
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\n" ); document.write( "\n" ); document.write( "Identify two data points (x, y). Since the description indicates the function to be height of the candle, use x as burn time, and y as height. The two points then are (7, 22.8) and (21, 14.4). \r
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\n" ); document.write( "\n" ); document.write( "We want y=mx+b equation form.
\n" ); document.write( "\"m=%2814.4-22.8%29%2F%2821-7%29=-8.4%2F14=highlight%28-3%2F5%29\"\r
\n" ); document.write( "\n" ); document.write( "Rearranging to have b,
\n" ); document.write( "b=y-mx
\n" ); document.write( "Use EITHER identified point
\n" ); document.write( "\"b=14.4-%28-3%2F5%2921=14.4%2B%283%2F5%2921=highlight%2827%29\"
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\n" ); document.write( "The equation for height versus burn time is \"highlight%28y=-%283%2F5%29x%2B27%29\".\r
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\n" ); document.write( "\n" ); document.write( "Your objective to finish is find y when x=12.
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