SOLUTION: When the Celsius temperature is 0 degrees, the corresponding Fahrenheit temperature is 32 degrees. When the Celsius temperature is 100 degrees, the corresponding Fahrenheit tempera

Algebra ->  Graphs -> SOLUTION: When the Celsius temperature is 0 degrees, the corresponding Fahrenheit temperature is 32 degrees. When the Celsius temperature is 100 degrees, the corresponding Fahrenheit tempera      Log On


   

Question 1047485: When the Celsius temperature is 0 degrees, the corresponding Fahrenheit temperature is 32 degrees. When the Celsius temperature is 100 degrees, the corresponding Fahrenheit temperature is 212 degrees. Let C represent the Celsius temperature and F the Fahrenheit temperature.
A) Express F as an exact linear function of C.
B) Solve the equation in part (a) for C, thus expressing C as a function of F.
c) For what temperature if F=C a true statement?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
F=(9/5)C+32
F-32=(9/5)C
(5/9)(F-32)=C
When C=F
C=(5/9)(C-32)
but C=(9/9)C
Therefor (9/9)C=(5/9)(C-32)=(5/9)C-(160/9)
moving the (5/9)C over, (4/9)C=-(160/9)
multiply both sides by 9
4C=-160
C=-40
F=C at -40 degrees.