At which temperature are Fahrenheit and Celsius equal?
Answer & explanation
Correct answer: option 2
The correct answer is option 2. \(-40\)
To find the temperature at which Fahrenheit and Celsius are equal, we can use the conversion formula:
\[°F = \frac{9}{5} °C + 32\]
We can set °F equal to °C and solve for the temperature:
\[°C = \frac{9}{5} °C + 32\]
Subtracting \( \frac{9}{5} °C \) from both sides:
\[0 = \frac{9}{5} °C - °C + 32\]
\[0 = \frac{4}{5} °C + 32\]
Subtracting 32 from both sides:
\[-32 = \frac{4}{5} °C\]
To solve for \( °C \), multiply both sides by \( \frac{5}{4} \):
\[°C = -32 \times \frac{5}{4}\]
\[°C = -40\]
So, the temperature at which Fahrenheit and Celsius are equal is \( -40 \) degrees.
Therefore, the correct option is: 2. -40