SOLUTION: 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

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.
a) find the equation that gives the Fahrenheit temperature F in terms of the Celsius C.
b) find the temperature at which the two scales read the same number.
c) if the temperature is 65C, what reading is show by the Fahrenheit scale?.
Answer by htmentor(1343) (Show Source): 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
Substituting the values for the two points gives:
32 = m*0 + b -> b = 32
212 = 100m + 32 [we use the value b = 32 derived above]
Solving for m gives
m = (212-32)/100 = 1.8
a) F = 1.8C + 32
b) Let F = C = T
T = 1.8T + 32
-0.8T = 32 -> T = -40
c) F = 1.8*65 + 32 -> F = 149
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