At what temperature is the reading on the Fahrenheit scale exactly twice the reading on the Celsius scale?

• A. 100 °C
• B. 212 °C
• C. 160 °C
• D. 80 °C

Answer: (C)

Verified step by step guidance

1. Let the temperature in Celsius be represented by \(C\) and the temperature in Fahrenheit be represented by \(F\).
2. Recall the conversion formula between Celsius and Fahrenheit: \(F = \frac{9}{5}C + 32\).
3. According to the problem, the Fahrenheit temperature is exactly twice the Celsius temperature, so set up the equation: \(F = 2C\).
4. Substitute \(F\) from the conversion formula into the equation: \(\frac{9}{5}C + 32 = 2C\).
5. Solve the equation for \(C\) by isolating \(C\) on one side: \(\frac{9}{5}C + 32 = 2C \implies 32 = 2C - \frac{9}{5}C = \left(2 - \frac{9}{5}\right)C\).