The air temperature in degrees Fahrenheit (°F) can be converted to degrees Celsius (°C) by taking the temperature in degrees Fahrenheit, subtracting 32, and then dividing the result by 1.8 . Which equation can be used to convert °F to °C ? What is 77°F in °C ? (1 point)

Question

A. °F = 1.8°C + 32; 25°C
B. °F = 1.8°C - 32; 60.6°C
C. °F = 1.8 + °C + 32; 43.2°C
D. °F - 32 = °C/1.8; 81°C

Answer 1

To convert degrees Fahrenheit (°F) to degrees Celsius (°C), we can use the formula:

\[ °C = \frac{(°F - 32)}{1.8} \]

Rearranging this gives us the equivalent expression to convert °C back to °F, which is:

\[ °F = 1.8°C + 32 \]

The equation that corresponds to the process of converting °F to °C is:

\[ °F - 32 = \frac{°C}{1.8} \]

Thus, the correct option is D. °F - 32 = °C/1.8; 81°C.

Now, let's calculate what 77°F is in °C using the conversion formula:

\[ °C = \frac{(77°F - 32)}{1.8} \]

Calculating this step-by-step:

1. Subtract 32 from 77: \[ 77 - 32 = 45 \]

2. Divide by 1.8: \[ °C = \frac{45}{1.8} = 25°C \]

So, 77°F is equal to 25°C.