At what temperature do the Fahrenheit and Celsius scales show the same numerical value?

• A. 100
• B. 0
• C. -40
• D. 32

Answer: (C)

Verified step by step guidance

1. Recall the formulas that relate Celsius (C) and Fahrenheit (F) temperatures. The conversion formula is given by: \(F = \frac{9}{5}C + 32\).
2. To find the temperature where the Fahrenheit and Celsius scales show the same numerical value, set \(F = C\) in the equation.
3. Substitute \(F\) with \(C\) in the formula: \(C = \frac{9}{5}C + 32\).
4. Rearrange the equation to isolate \(C\) on one side: \(C - \frac{9}{5}C = 32\).
5. Solve the resulting equation for \(C\) to find the temperature at which both scales are equal.