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Is the tempature measured in celcius proptional to the tempature measured in fahrenheit?

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Final Answer:

No, the temperature measured in Celsius is not proportional to the temperature measured in Fahrenheit.

Step-by-step explanation:

The relationship between Celsius (°C) and Fahrenheit (°F) temperatures is given by the formula: °C = (5/9) * (°F - 32). In a proportional relationship, the ratio of Celsius to Fahrenheit temperatures or vice versa should remain constant. However, in this case, the coefficient (5/9) indicates a non-proportional relationship.

To illustrate, let's consider the freezing point of water. At this point, 0°C corresponds to 32°F. Applying the conversion formula: 0 = (5/9) * (32 - 32), we find that 0 Celsius is equal to 0 Fahrenheit. While the two temperatures coincide at this specific point, the ratio between them is not constant for all temperatures, demonstrating a non-proportional relationship.

In summary, the Celsius and Fahrenheit scales are related by a linear equation, but it is not a proportional relationship. The factor (5/9) introduces a scaling factor that varies across different temperature values, making the relationship non-proportional.

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