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)![]() ![]() ![]() You can put this solution on YOUR website! This same question has occurred a few weeks ago.\r \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We want y=mx+b equation form. \n" ); document.write( " \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( " \n" ); document.write( "' \n" ); document.write( "The equation for height versus burn time is \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Your objective to finish is find y when x=12. \n" ); document.write( " |