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Sagot :
To convert from degrees Celsius to degrees Fahrenheit, you need to use the appropriate formula. Let's examine the given options step-by-step to determine which one is correct:
1. [tex]\({ }^{\circ} F =\left(9 / 5 \times{ }^{\circ} C \right)+32\)[/tex]:
This formula reads: [tex]\( \text{Fahrenheit} = \left( \frac{9}{5} \times \text{Celsius} \right) + 32 \)[/tex].
This equation correctly represents the conversion procedure from Celsius to Fahrenheit. It states that you multiply the Celsius temperature by [tex]\(\frac{9}{5}\)[/tex] and then add 32 degrees.
2. [tex]\({ }^{\circ} F =5 / 9 \times\left({ }^{\circ} C -32\right)\)[/tex]:
This formula reads: [tex]\( \text{Fahrenheit} = \left( \frac{5}{9} \times (\text{Celsius} - 32) \right) \)[/tex].
This equation actually represents the conversion from Fahrenheit to Celsius, not the other way around. Therefore, it is not the correct formula for the conversion in question.
3. [tex]\({ }^{\circ} F ={ }^{\circ} C -273\)[/tex]:
This formula suggests subtracting 273 from the Celsius value to obtain the Fahrenheit value.
This equation is incorrect. It appears to mix up the conversion between Celsius and Kelvin; subtracting 273 is part of converting Celsius to Kelvin or vice versa, not to Fahrenheit.
4. [tex]\({ }^{\circ} F ={ }^{\circ} C +273\)[/tex]:
This formula suggests adding 273 to the Celsius value to obtain the Fahrenheit value.
This equation is also incorrect. It might be confusing the conversion factors between Celsius and Kelvin.
Given these explanations, the correct formula for converting degrees Celsius to degrees Fahrenheit is:
[tex]\[ { }^{\circ} F =\left(9 / 5 \times{ }^{\circ} C \right)+32 \][/tex]
1. [tex]\({ }^{\circ} F =\left(9 / 5 \times{ }^{\circ} C \right)+32\)[/tex]:
This formula reads: [tex]\( \text{Fahrenheit} = \left( \frac{9}{5} \times \text{Celsius} \right) + 32 \)[/tex].
This equation correctly represents the conversion procedure from Celsius to Fahrenheit. It states that you multiply the Celsius temperature by [tex]\(\frac{9}{5}\)[/tex] and then add 32 degrees.
2. [tex]\({ }^{\circ} F =5 / 9 \times\left({ }^{\circ} C -32\right)\)[/tex]:
This formula reads: [tex]\( \text{Fahrenheit} = \left( \frac{5}{9} \times (\text{Celsius} - 32) \right) \)[/tex].
This equation actually represents the conversion from Fahrenheit to Celsius, not the other way around. Therefore, it is not the correct formula for the conversion in question.
3. [tex]\({ }^{\circ} F ={ }^{\circ} C -273\)[/tex]:
This formula suggests subtracting 273 from the Celsius value to obtain the Fahrenheit value.
This equation is incorrect. It appears to mix up the conversion between Celsius and Kelvin; subtracting 273 is part of converting Celsius to Kelvin or vice versa, not to Fahrenheit.
4. [tex]\({ }^{\circ} F ={ }^{\circ} C +273\)[/tex]:
This formula suggests adding 273 to the Celsius value to obtain the Fahrenheit value.
This equation is also incorrect. It might be confusing the conversion factors between Celsius and Kelvin.
Given these explanations, the correct formula for converting degrees Celsius to degrees Fahrenheit is:
[tex]\[ { }^{\circ} F =\left(9 / 5 \times{ }^{\circ} C \right)+32 \][/tex]
Answer:
A
Explanation:
A gives the correct formula.
Let's take a look at what this formula actually says:
The 32 is the y-intercept:
If we have 0°C this is the same as 32°F.
Furthermore, if we have 1°C more, we don't have 1°F more.
Instead, Celsius is going up slower than Fahrenheit:
For each degree we add in Celsius, we add 9/5 degrees of Fahrenheit
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