Question

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)

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.**