Discussion
At what temperature do the Fahrenheit and celcius scales give the same reading?
Answer: C
The two scales read alike at −40°.
Setting the readings equal in the conversion formula: \[F = \frac{9}{5}C + 32,\qquad x = \frac{9}{5}x + 32\]
\[-\frac{4}{5}x = 32 \Rightarrow x = -40\]
So −40 °C is the same temperature as −40 °F.
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