Answer :
To convert the temperature from Fahrenheit to Celsius using the formula [tex]\( C = \frac{5}{9} (F - 32) \)[/tex], follow these steps:
1. Given Temperature in Fahrenheit:
Maria heard that the high temperature would be [tex]\( 84^\circ F \)[/tex].
2. Substitute the Fahrenheit Value:
Substitute [tex]\( F = 84 \)[/tex] into the formula.
3. Subtract 32 from the Fahrenheit Temperature:
Calculate [tex]\( 84 - 32 = 52 \)[/tex].
This step involves subtracting 32 from the Fahrenheit value, which is a necessary step before multiplying by the fraction given in the formula.
4. Multiply by [tex]\(\frac{5}{9}\)[/tex]:
Now multiply the result by [tex]\(\frac{5}{9}\)[/tex]. So, you get
[tex]\( C = \frac{5}{9} \times 52 \)[/tex].
5. Calculate the Celsius Temperature:
When you do the multiplication, you find that [tex]\( C \approx 28.89 \)[/tex].
This means [tex]\( 84^\circ F \)[/tex] is approximately [tex]\( 28.89^\circ C \)[/tex].
Checking Other Options in the Question:
- Substitute 64 for [tex]\( F \)[/tex]:
Substituting 64 for [tex]\( F \)[/tex] and applying the correct formula gives you approximately [tex]\( 17.78^\circ C \)[/tex], which does not relate to the given question as [tex]\( 84^\circ F \)[/tex].
- Substitute 64 for [tex]\( C \)[/tex]:
Substituting 64 for [tex]\( C \)[/tex] does not follow any logical step for converting Fahrenheit to Celsius, as [tex]\( F = 84 \)[/tex].
- Multiply the Value of [tex]\( F \)[/tex] by [tex]\(\frac{5}{9}\)[/tex] before Subtracting 32:
This step is incorrect. The correct sequence is to subtract 32 first, then multiply.
- Statements about Approximate Celsius Temperatures:
- [tex]\( 84^\circ F \approx 3.8^\circ C \)[/tex]: This is incorrect.
- [tex]\( 64^\circ F \approx 178^\circ C \)[/tex]: This is also incorrect.
The correct steps involve subtracting 32 from the Fahrenheit temperature first and then multiplying by the proper fraction. These steps help you to convert [tex]\( 84^\circ F \)[/tex] to approximately [tex]\( 28.89^\circ C \)[/tex].
1. Given Temperature in Fahrenheit:
Maria heard that the high temperature would be [tex]\( 84^\circ F \)[/tex].
2. Substitute the Fahrenheit Value:
Substitute [tex]\( F = 84 \)[/tex] into the formula.
3. Subtract 32 from the Fahrenheit Temperature:
Calculate [tex]\( 84 - 32 = 52 \)[/tex].
This step involves subtracting 32 from the Fahrenheit value, which is a necessary step before multiplying by the fraction given in the formula.
4. Multiply by [tex]\(\frac{5}{9}\)[/tex]:
Now multiply the result by [tex]\(\frac{5}{9}\)[/tex]. So, you get
[tex]\( C = \frac{5}{9} \times 52 \)[/tex].
5. Calculate the Celsius Temperature:
When you do the multiplication, you find that [tex]\( C \approx 28.89 \)[/tex].
This means [tex]\( 84^\circ F \)[/tex] is approximately [tex]\( 28.89^\circ C \)[/tex].
Checking Other Options in the Question:
- Substitute 64 for [tex]\( F \)[/tex]:
Substituting 64 for [tex]\( F \)[/tex] and applying the correct formula gives you approximately [tex]\( 17.78^\circ C \)[/tex], which does not relate to the given question as [tex]\( 84^\circ F \)[/tex].
- Substitute 64 for [tex]\( C \)[/tex]:
Substituting 64 for [tex]\( C \)[/tex] does not follow any logical step for converting Fahrenheit to Celsius, as [tex]\( F = 84 \)[/tex].
- Multiply the Value of [tex]\( F \)[/tex] by [tex]\(\frac{5}{9}\)[/tex] before Subtracting 32:
This step is incorrect. The correct sequence is to subtract 32 first, then multiply.
- Statements about Approximate Celsius Temperatures:
- [tex]\( 84^\circ F \approx 3.8^\circ C \)[/tex]: This is incorrect.
- [tex]\( 64^\circ F \approx 178^\circ C \)[/tex]: This is also incorrect.
The correct steps involve subtracting 32 from the Fahrenheit temperature first and then multiplying by the proper fraction. These steps help you to convert [tex]\( 84^\circ F \)[/tex] to approximately [tex]\( 28.89^\circ C \)[/tex].
