The temperature at which the Celsius and Fahrenheit's scales show the same value is
- A.0°
- B.-25°
- C.-37°
- D.-40°
Show answer
Correct answer: D. -40°
Explanation
The correct answer is D, -40°. Only at -40 do the two scales read alike, so -40 °C and -40 °F are the very same temperature. The scales are linked by F = (9/5)C + 32. Writing C in place of F gives C = (9/5)C + 32, so -(4/5)C = 32 and C = -40. On the Celsius scale water freezes at 0° and boils at 100°, while on the Fahrenheit scale the same two points are 32° and 212°, so 100 Celsius divisions cover 180 Fahrenheit divisions. Because the two scales climb at different rates, they can agree at exactly one point, and that point lies well below both freezing marks. A is wrong because 0 °C equals 32 °F. B is wrong because -25 °C equals -13 °F. C is wrong because -37 °C comes to about -34.6 °F. Exam tip: remember the single crossing point -40 °C = -40 °F, and the freezing pair 0 °C = 32 °F.