Question

at what temperature both Fahrenheit and Celsius scales give same reading of temperature prove it also for 5 marks question

Answer 1

formula conversion between Fahrenheit and Celsius is given below:

F = 9/5*C + 32

To find the temperature both scales are equal we can use another equation and combine it with this previous equation. The equation is simply F = C. Plug in for F or C and solve. Both cases are shown below:

C = 9/5*C + 32
C - 9/5*C = 32
-4/5*C = 32
C = (-32*5)/4 = -40

F = 9/5*F + 32
F - 9/5*F = 32
-4/5*F = 32
F = (-32*5)/4 = -40

Thus, at the cold temperature of - 40, this temperature is the same on both the Fahrenheit and Celsius temperature scales.