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) Responses °F=1.8°C−32; 60.6°C

°F=1.8+°C+32; 43.2°C
°F−32=°C1.8; 81°C
°F=1.8°C+32; 25°C

3 answers

The correct equation to convert degrees Fahrenheit (°F) to degrees Celsius (°C) is:

\[ °C = \frac{°F - 32}{1.8} \]

To find out what 77°F is in °C, we can substitute 77 into the equation:

\[ °C = \frac{77 - 32}{1.8} \] \[ °C = \frac{45}{1.8} \] \[ °C = 25 \]

So, 77°F is equal to 25°C.

The answer choices and the correct calculation confirm:

  • The equation \( °C = \frac{°F - 32}{1.8} \) is used for converting °F to °C.
  • 77°F converts to 25°C.

The final answer is 25°C.

WHICH OF THE OPTIONS

Based on your question and available options, the correct one for converting °F to °C is:

°F - 32 = °C × 1.8

Although it could be rearranged for learning purposes, in the context of your options, this is expressed as:

°F - 32 = °C × 1.8

When applied:

  1. Solve for °C: \[ °C = \frac{°F - 32}{1.8} \]

  2. As computed previously, when substituting 77°F: \[ °C = \frac{77 - 32}{1.8} = 25°C \]

Thus, from the selections:

  • °F - 32 = °C × 1.8; 25°C is the correct choice.