document.write( "Question 69671: Suppose that the relationship between te tempeature t of a cup of water (in degrees fahrenheit) and the number of seconds s that is in themicrowave is given by linear equation. If initially, the temperature is 60 degrees fahrenheit, and after 120 seconds it has risen to 200 degrees fahrnheit:\r
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document.write( "1) What would the temperature be after 30 seconds?
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document.write( "2) How long would youhave to leave it in for the temperature to reach 300 degrees fahrenheit? \n" );
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Algebra.Com's Answer #49624 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Suppose that the relationship between te tempeature t of a cup of water (in degrees fahrenheit) and the number of seconds s that is in themicrowave is given by linear equation. If initially, the temperature is 60 degrees fahrenheit, and after 120 seconds it has risen to 200 degrees fahrnheit: \n" ); document.write( "----------- \n" ); document.write( "You are given two \"points\" relating time and temperature: (0,60), (120,200) \n" ); document.write( "From these you can form an equation: \n" ); document.write( "slope = [200-60]/[120-0]= 140/120=7/6 \n" ); document.write( "y-60=(7/6)(x-0) \n" ); document.write( "y=(7/6)x+60 \n" ); document.write( "Y is temperature and x is time.\r \n" ); document.write( "\n" ); document.write( "1) What would the temperature be after 30 seconds? \n" ); document.write( "temp = (7/6)(30)+60 = 95 degrees \n" ); document.write( "------------- \n" ); document.write( "2) How long would you have to leave it in for the temperature to reach 300 degrees fahrenheit \n" ); document.write( "300=(7/6)x+60 \n" ); document.write( "240=(7/6)x \n" ); document.write( "x=(6/7)240 \n" ); document.write( "time= 205.71 seconds \n" ); document.write( "-------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |