document.write( "Question 902222: At sea level, the boiling point of water is 100°C. At an altitude of 5 km, the boiling point of water is 82.5°C.
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document.write( "Write a linear function for the boiling point of water y in terms of the altitude above sea level x. \n" );
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Algebra.Com's Answer #547167 by Theo(13342)![]() ![]() You can put this solution on YOUR website! at sea level the boiling point is 100 degrees centigrade. \n" ); document.write( "at 5km above sea level, the boiling point of water is 82.5 degrees centigrade.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let x = the number of km above sea level.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when x = 0, the boiling point is 100 degrees centigrade.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when x = 5 km, the boiling point is 82.5 degrees centigrade.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the average change in boiling point is equal to (82.5 - 100) / 5 which is equal to -17.5 / 5 which is equal to -3.5 degrees centigrade per kilometer.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the formula becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = -3.5*x + 100\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when x = 0, y = 100 \n" ); document.write( "when x = 5, y = 5*-3.5 = -17.5 + 100 = 82.5 degrees centigrade.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the graph looks like this:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the slope of the line becomes the change in the value of y divided by the change in the value of x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the change in the value of y is the change in the boiling point of water. \n" ); document.write( "the change in the value of x is the change in the number of kilometers above sea level.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |