document.write( "Question 89883: 1. In the real world, what might be a situation where it is preferable for the data to form a relation but not a function?
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document.write( " 2. There is a formula that converts temperature in degrees Celsius to temperature in degrees Fahrenheit. You are given the following data points:\r
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document.write( " Fahrenheit Celsius
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document.write( " Freezing point of water 32 0
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document.write( " Boiling point of water 212 100\r
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document.write( " 1. Find the linear equation that expresses temperature in degrees Fahrenheit as a function of temperature in degrees Celsius.
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document.write( " 2. Find the linear equation that expresses temperature in degrees Celsius as a function of temperature in degrees Fahrenheit.
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document.write( " 3. How do the graphs of these two functions differ? \r
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document.write( " Do not just list the functions. You must show all of the steps you used to derive the functions. \n" );
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Algebra.Com's Answer #65250 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 2. There is a formula that converts temperature in degrees Celsius to temperature in degrees Fahrenheit. You are given the following data points: \n" ); document.write( "Fahrenheit Celsius \n" ); document.write( "Freezing point of water 32 0 \n" ); document.write( "Boiling point of water 212 100 \n" ); document.write( "1. Find the linear equation that expresses temperature in degrees Fahrenheit as a function of temperature in degrees Celsius. \n" ); document.write( "----- \n" ); document.write( "slope = (212-32)/(100-0) = 180/100 = 9/5 \n" ); document.write( "---------- \n" ); document.write( "The equation is y=mx+b where m=9/5,and y=32 when x=30 \n" ); document.write( "32=(9/5)*0+b \n" ); document.write( "b=32 \n" ); document.write( "--------- \n" ); document.write( "EQUATION: \n" ); document.write( "Fahrenheit = (9/5)(Celcius)+32 \n" ); document.write( "=========================================\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2. Find the linear equation that expresses temperature in degrees Celsius as a function of temperature in degrees Fahrenheit. \n" ); document.write( "Celcius = (Fahrenheit-32)*(5/9) \n" ); document.write( "============================== \n" ); document.write( "3. How do the graphs of these two functions differ? \n" ); document.write( "One is the inverse of the other. \n" ); document.write( " \n" ); document.write( "================\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |