To convert 17 degrees Celsius (°C) to Fahrenheit (°F), we will use the standard conversion formula:
F = (95 × C) + 32
Where:
- F is the temperature in Fahrenheit,
- C is the temperature in Celsius.
Let’s go through this step-by-step.
Step-by-Step Process:
- Identify the Celsius value (C): We are given C = 17 Degree Celsius
- Multiply the Celsius value by 9/5: The first step is to multiply the Celsius temperature by the fraction 9/5. This fraction is used because for every 5°C, the temperature increases by 9°F on the Fahrenheit scale. So:
9/5 × 17 = 30.6So, multiplying 17 by 9/5 gives us 30.6.
- Add 32 to the result: After multiplying, we add 32. This step adjusts the Celsius scale to match the Fahrenheit scale because 0°C corresponds to 32°F. Let’s add:
30.6 + 32 = 62.6
- Final Answer: Therefore, 17°C is equal to 62.6°F.
Why This Formula Works:
The Fahrenheit and Celsius scales are related by a linear equation. The factor 95\frac{9}{5} accounts for the difference in the rate of temperature increase between the two scales. The number 32 is added because 0°C corresponds to 32°F, establishing the base point difference.
Thus, 17°C = 62.6°F.