Question
During his science experiment, Yuri measured the temperature of a water sample as 24 degrees Celsius. To determine the temperature in degrees Fahrenheit, he used the formula F = StartFraction 9 Over 5 EndFraction C + 32, where F is the temperature in degrees Fahrenheit and C is the temperature in degrees Celsius. Which is a correct step in the process Yuri should take to convert the temperature? Check all that apply.
Substitute 24 for F.
Substitute 24 for C.
Add 32 to C before multiplying by StartFraction 9 Over 5 EndFraction.
Multiply the value of C by StartFraction 9 Over 5 EndFraction before adding 32.
24 Degrees Celsius is 75.2 Degrees Fahrenheit.
24 Degrees Celsius is 100.8 Degrees Fahrenheit.
Substitute 24 for F.
Substitute 24 for C.
Add 32 to C before multiplying by StartFraction 9 Over 5 EndFraction.
Multiply the value of C by StartFraction 9 Over 5 EndFraction before adding 32.
24 Degrees Celsius is 75.2 Degrees Fahrenheit.
24 Degrees Celsius is 100.8 Degrees Fahrenheit.
Answers
GPT-4o mini
To convert 24 degrees Celsius to degrees Fahrenheit using the formula \( F = \frac{9}{5} C + 32 \), the correct steps Yuri should take include:
1. **Substitute 24 for C.** - This is correct because you want to replace C in the formula with the value of 24 degrees Celsius.
2. **Multiply the value of C by \(\frac{9}{5}\) before adding 32.** - This is correct as per the formula. First, you multiply the Celsius temperature (24) by \(\frac{9}{5}\) and then add 32 to that result.
The incorrect options are:
- **Substitute 24 for F.** - This is incorrect as you should substitute for C, not F.
- **Add 32 to C before multiplying by \(\frac{9}{5}\).** - This is incorrect as you should first multiply C by \(\frac{9}{5}\) and then add 32 according to the formula.
- **24 degrees Celsius is 75.2 degrees Fahrenheit.** - This is correct (as it turns out to be the right conversion), but it's not a step in the process of conversion.
- **24 degrees Celsius is 100.8 degrees Fahrenheit.** - This is incorrect. The correct conversion gives 75.2 degrees Fahrenheit.
Thus, the correct steps are: **Substitute 24 for C** and **Multiply the value of C by \(\frac{9}{5}\) before adding 32.**
1. **Substitute 24 for C.** - This is correct because you want to replace C in the formula with the value of 24 degrees Celsius.
2. **Multiply the value of C by \(\frac{9}{5}\) before adding 32.** - This is correct as per the formula. First, you multiply the Celsius temperature (24) by \(\frac{9}{5}\) and then add 32 to that result.
The incorrect options are:
- **Substitute 24 for F.** - This is incorrect as you should substitute for C, not F.
- **Add 32 to C before multiplying by \(\frac{9}{5}\).** - This is incorrect as you should first multiply C by \(\frac{9}{5}\) and then add 32 according to the formula.
- **24 degrees Celsius is 75.2 degrees Fahrenheit.** - This is correct (as it turns out to be the right conversion), but it's not a step in the process of conversion.
- **24 degrees Celsius is 100.8 degrees Fahrenheit.** - This is incorrect. The correct conversion gives 75.2 degrees Fahrenheit.
Thus, the correct steps are: **Substitute 24 for C** and **Multiply the value of C by \(\frac{9}{5}\) before adding 32.**