document.write( "Question 535644: Except in scientific work, temperature is usually measured in degrees Fahrenheit (F) or in degrees Celsius (C). The relationship is linear in the equation that relates F to C. The freezing point of water in the Fahrenheit is 32F, in Celsius is 0 degrees celsius. The boiling point of water in Fahrenheit is 212 Fahrenheit, in Celsius is 100 degrees celsius.\r
\n" ); document.write( "\n" ); document.write( "a) find the equation that gives the Fahrenheit temperature F in terms of the Celsius C.
\n" ); document.write( "b) find the temperature at which the two scales read the same number.
\n" ); document.write( "c) if the temperature is 65C, what reading is show by the Fahrenheit scale?. \n" ); document.write( "

Algebra.Com's Answer #351965 by htmentor(1343) $\"\"$ $\"About$

You can put this solution on YOUR website!
The equation will be of the form F = mC + b, where F = the Fahrenheit temperature, C = the Celsius temperature
\n" ); document.write( "Substituting the values for the two points gives:
\n" ); document.write( "32 = m*0 + b -> b = 32
\n" ); document.write( "212 = 100m + 32 [we use the value b = 32 derived above]
\n" ); document.write( "Solving for m gives
\n" ); document.write( "m = (212-32)/100 = 1.8
\n" ); document.write( "a) F = 1.8C + 32
\n" ); document.write( "b) Let F = C = T
\n" ); document.write( "T = 1.8T + 32
\n" ); document.write( "-0.8T = 32 -> T = -40
\n" ); document.write( "c) F = 1.8*65 + 32 -> F = 149 \n" ); document.write( "

\n" );