Question

Maria heard on the radio that the high temperature that day would be 64 degrees Fahrenheit. To determine the temperature in degrees Celsius, she used the formula C = StartFraction 5 Over 9 EndFraction (F minus 32), where C is the temperature in degrees Celsius and F is the temperature in degrees Fahrenheit. Which describes a correct step in the process Maria should take to convert the temperature? Check all that apply.
Substitute 64 for F.
Substitute 64 for C.
Subtract 32 from F before multiplying by StartFraction 5 Over 9 EndFraction.
Multiply the value of F by StartFraction 5 Over 9 EndFraction before subtracting 32.
64 degrees Fahrenheit is approximately 3.6 degrees Celsius.
64 degrees Fahrenheit is approximately 17.8 degrees Celsius.
Mark this and return

Answer 1

To correctly convert the temperature from degrees Fahrenheit to degrees Celsius using the formula \( C = \frac{5}{9} (F - 32) \), Maria should follow these steps:

1. **Substitute 64 for F**: This is correct. She should replace \( F \) with 64 in the formula.
2. **Substitute 64 for C**: This is incorrect. \( C \) represents the temperature in Celsius, which will be calculated, not substituted.
3. **Subtract 32 from F before multiplying by \( \frac{5}{9} \)**: This is correct. According to the formula, she needs to subtract 32 from \( F \) (which is 64) first.
4. **Multiply the value of F by \( \frac{5}{9} \) before subtracting 32**: This is incorrect. She must perform the subtraction first before multiplying.
5. **64 degrees Fahrenheit is approximately 3.6 degrees Celsius**: This is incorrect. The value of 64°F converts to approximately 17.8°C.
6. **64 degrees Fahrenheit is approximately 17.8 degrees Celsius**: This is correct. The final conversion gives approximately 17.8°C.

Therefore, the correct steps in the process Maria should take to convert the temperature are:
- Substitute 64 for F.
- Subtract 32 from F before multiplying by \( \frac{5}{9} \).
- 64 degrees Fahrenheit is approximately 17.8 degrees Celsius.