Evaluate $F=\frac{9}{5} C+32$ For $C=30$ Degrees. A. 50 Degrees B. 70 Degrees C. 14 Degrees D. 86 Degrees
Introduction
In this evaluation, we will be using the given formula $F=\frac{9}{5} C+32$ to find the value of $F$ when $C=30$ degrees. This formula is commonly used to convert temperatures from Celsius to Fahrenheit. The formula is a linear equation, where $F$ is the temperature in Fahrenheit and $C$ is the temperature in Celsius.
The Formula
The given formula is $F=\frac9}{5} C+32$. This formula can be broken down into two parts{5} C$, which represents the conversion of Celsius to Fahrenheit, and the second part is $32$, which is the offset value that is added to the result.
Evaluating the Formula
To evaluate the formula, we need to substitute the value of $C$ into the formula. In this case, we are given that $C=30$ degrees. Substituting this value into the formula, we get:
Simplifying the Equation
To simplify the equation, we need to follow the order of operations (PEMDAS):
- Multiply $\frac{9}{5}$ by $30$:
- Add $32$ to the result:
Conclusion
Therefore, when $C=30$ degrees, the value of $F$ is $86$ degrees.
Comparison with Options
Let's compare our result with the given options:
A. 50 degrees B. 70 degrees C. 14 degrees D. 86 degrees
Our result matches option D. 86 degrees.
Discussion
In this evaluation, we used the formula $F=\frac{9}{5} C+32$ to find the value of $F$ when $C=30$ degrees. We simplified the equation by following the order of operations and arrived at the result of $86$ degrees. This result matches option D. 86 degrees.
Importance of the Formula
The formula $F=\frac{9}{5} C+32$ is an important tool for converting temperatures from Celsius to Fahrenheit. It is widely used in various fields, including science, engineering, and everyday life. Understanding this formula and how to use it is essential for making accurate temperature conversions.
Real-World Applications
The formula $F=\frac{9}{5} C+32$ has numerous real-world applications. For example, it is used in weather forecasting, where temperatures are often reported in both Celsius and Fahrenheit. It is also used in cooking, where recipes often require temperatures to be converted from Celsius to Fahrenheit.
Conclusion
In conclusion, the formula $F=\frac{9}{5} C+32$ is a useful tool for converting temperatures from Celsius to Fahrenheit. By understanding this formula and how to use it, we can make accurate temperature conversions and apply it to various real-world situations.
Final Thoughts
The formula $F=\frac{9}{5} C+32$ is a simple yet powerful tool for converting temperatures. Its importance cannot be overstated, and it is essential for anyone who needs to work with temperatures in both Celsius and Fahrenheit. By mastering this formula, we can make accurate temperature conversions and apply it to various real-world situations.
Introduction
In our previous article, we evaluated the formula $F=\frac{9}{5} C+32$ for $C=30$ degrees and found that the value of $F$ is $86$ degrees. In this article, we will answer some frequently asked questions (FAQs) related to the formula and its application.
Q: What is the formula $F=\frac{9}{5} C+32$ used for?
A: The formula $F=\frac{9}{5} C+32$ is used to convert temperatures from Celsius to Fahrenheit.
Q: How do I use the formula to convert temperatures?
A: To use the formula, simply substitute the value of $C$ (the temperature in Celsius) into the formula and solve for $F$ (the temperature in Fahrenheit).
Q: What is the significance of the number $32$ in the formula?
A: The number $32$ is the offset value that is added to the result of the conversion. This is because the freezing point of water is $32$ degrees Fahrenheit, while the freezing point of water is $0$ degrees Celsius.
Q: Can I use the formula to convert temperatures from Fahrenheit to Celsius?
A: Yes, you can use the formula to convert temperatures from Fahrenheit to Celsius by rearranging the formula to solve for $C$.
Q: How do I convert $86$ degrees Fahrenheit to Celsius?
A: To convert $86$ degrees Fahrenheit to Celsius, we can use the formula $C=\frac{5}{9} (F-32)$. Substituting $F=86$ into the formula, we get:
Simplifying the equation, we get:
Therefore, $86$ degrees Fahrenheit is equivalent to $30$ degrees Celsius.
Q: What are some real-world applications of the formula?
A: The formula $F=\frac{9}{5} C+32$ has numerous real-world applications, including:
- Weather forecasting: Temperatures are often reported in both Celsius and Fahrenheit.
- Cooking: Recipes often require temperatures to be converted from Celsius to Fahrenheit.
- Science: Scientists often use the formula to convert temperatures in laboratory experiments.
- Engineering: Engineers use the formula to convert temperatures in various engineering applications.
Q: Can I use a calculator to convert temperatures using the formula?
A: Yes, you can use a calculator to convert temperatures using the formula. Simply enter the value of $C$ and the formula will give you the value of $F$.
Q: What are some common mistakes to avoid when using the formula?
A: Some common mistakes to avoid when using the formula include:
- Not following the order of operations (PEMDAS).
- Not using the correct values for $C$ and $F$.
- Not checking the units of the result.
Conclusion
In conclusion, the formula $F=\frac{9}{5} C+32$ is a useful tool for converting temperatures from Celsius to Fahrenheit. By understanding the formula and its application, we can make accurate temperature conversions and apply it to various real-world situations.
Final Thoughts
formula $F=\frac{9}{5} C+32$ is a simple yet powerful tool for converting temperatures. Its importance cannot be overstated, and it is essential for anyone who needs to work with temperatures in both Celsius and Fahrenheit. By mastering this formula, we can make accurate temperature conversions and apply it to various real-world situations.