Let's solve the problem step by step:
1. Given Information:
- Temperature in Fahrenheit: [tex]\( 70^\circ \text{F} \)[/tex]
2. Conversion Formula:
- The formula to convert Fahrenheit to Celsius is:
[tex]\[
^\circ C = \frac{5}{9} \left( ^\circ F - 32 \right)
\][/tex]
3. Substitute the given Fahrenheit temperature into the formula:
- Substituting [tex]\( 70^\circ \text{F} \)[/tex] into the formula:
[tex]\[
^\circ C = \frac{5}{9} \left( 70 - 32 \right)
\][/tex]
4. Calculate the difference first:
- [tex]\( 70 - 32 = 38 \)[/tex]
5. Multiply by [tex]\(\frac{5}{9}\)[/tex]:
- [tex]\[
^\circ C = \frac{5}{9} \times 38
\][/tex]
6. Calculate the result:
- [tex]\[
^\circ C \approx 21.11111111111111
\][/tex]
7. Round to the nearest degree:
- Rounding [tex]\( 21.11111111111111 \)[/tex] to the nearest degree gives us [tex]\( 21^\circ \text{C} \)[/tex].
Therefore, [tex]\( 70^\circ \text{F} \)[/tex] converted to Celsius and rounded to the nearest degree is [tex]\( 21^\circ \text{C} \)[/tex].
The correct answer is:
- a. [tex]\( 21^\circ \text{C} \)[/tex]
