To determine the correct formula for converting from degrees Celsius (°C) to degrees Fahrenheit (°F), let's examine each option provided step-by-step.
1. Option 1: [tex]\( { }^{\circ} F = \left(9 / 5 \times{ }^{\circ} C \right) + 32 \)[/tex]
- This option states that to convert from °C to °F, you multiply °C by [tex]\( \frac{9}{5} \)[/tex] and then add 32.
- This aligns with the known conversion formula between Celsius and Fahrenheit, which is:
[tex]\( { }^{\circ} F = \left(\frac{9}{5} \times{ }^{\circ} C\right) + 32 \)[/tex].
2. Option 2: [tex]\( { }^{\circ} F = 5 / 9 \times \left({ }^{\circ} C - 32 \right) \)[/tex]
- This option subtracts 32 from °C and then multiplies the result by [tex]\( \frac{5}{9} \)[/tex].
- This is actually the inverse formula, used to convert from Fahrenheit to Celsius:
[tex]\( { }^{\circ} C = \frac{5}{9} \times \left({ }^{\circ} F - 32 \)[/tex] \).
3. Option 3: [tex]\( { }^{\circ} F = { }^{\circ} C - 273 \)[/tex]
- This option subtracts 273 from °C to get °F, which does not match the relationship between Celsius and Fahrenheit.
- This formula appears to be a misinterpretation of the conversion between Celsius and Kelvin, where:
[tex]\( { K = { }^{\circ} C + 273.15 } \)[/tex].
4. Option 4: [tex]\( { }^{\circ} F = { }^{\circ} C + 273 \)[/tex]
- This option adds 273 to °C to get °F, which also does not match the conversion formula.
- Again, this seems to relate to Kelvin rather than Fahrenheit.
Given the goal is to identify the formula for converting from degrees Celsius to degrees Fahrenheit, the correct choice is:
[tex]\[ { }^{\circ} F = \left( \frac{9}{5} \times { }^{\circ} C \right) + 32 \][/tex]
Therefore, the answer is the first option.
