Use the formulas F=59C+32 and C=95(F-32) to make the following degree conversions. – 19 degrees Celsius to Fahrenheit -19°C=°F (Simplify your answer. Type an integer or a decimal. Round to the nearest tenth as needed.)
The Correct Answer and Explanation is :
The correct conversion of -19°C to Fahrenheit using the formula:
[
F = \frac{9}{5}C + 32
]
Substituting ( C = -19 ):
[
F = \frac{9}{5}(-19) + 32
]
[
F = -34.2 + 32
]
[
F = -2.2
]
So, -19°C is equal to -2.2°F.
Explanation:
- Understanding the Formula: The conversion formula ( F = \frac{9}{5}C + 32 ) is derived based on the relationship between Celsius and Fahrenheit temperature scales. The factor ( \frac{9}{5} ) represents the ratio of the temperature scales’ increments, and adding 32 adjusts for the offset between the two zero points (0°C = 32°F).
- Step-by-Step Calculation:
- First, multiply -19 by ( \frac{9}{5} ), which equals -34.2.
- Then, add 32 to -34.2, which results in -2.2.
- The answer is then rounded to the nearest tenth if needed.
- Why the Formula Works: The Celsius and Fahrenheit scales are linear, meaning they change proportionally. The freezing point of water is 0°C (32°F), and the boiling point is 100°C (212°F). The formula ensures accurate temperature conversion across both scales.
- Practical Use: This conversion is useful in many real-world scenarios, such as cooking, weather forecasting, and scientific research. For example, if a weather forecast states that the temperature in a city is -19°C, and someone familiar with Fahrenheit wants to know the equivalent temperature, they would find it to be -2.2°F.
Now, I will generate an image representing the Celsius-to-Fahrenheit conversion.
Here is an image visually illustrating the conversion of -19°C to -2.2°F, using the formula ( F = \frac{9}{5}C + 32 ). Let me know if you need any modifications!