What is Fahrenheit in 90 degrees Celsius?
A. 194
B. 150
C. 120
D. 320
The correct answer and explanation is:
Correct Answer: A. 194
Explanation:
To convert 90 degrees Celsius to Fahrenheit, we use the standard formula: F=(95×C)+32F = \left(\frac{9}{5} \times C\right) + 32
Where:
- FF is the temperature in Fahrenheit
- CC is the temperature in Celsius
Step-by-step Calculation:
F=(95×90)+32F = \left(\frac{9}{5} \times 90\right) + 32 F=(162)+32F = (162) + 32 F=194F = 194
Understanding the Formula:
The formula F=95C+32F = \frac{9}{5}C + 32 is based on the relationship between the Celsius and Fahrenheit temperature scales. These scales differ in their zero points and the size of each degree unit:
- The Celsius scale sets 0°C as the freezing point of water and 100°C as the boiling point.
- The Fahrenheit scale sets 32°F as the freezing point and 212°F as the boiling point of water.
The span between freezing and boiling points in Celsius is 100 degrees, while in Fahrenheit it is 180 degrees. Thus, each Celsius degree is equal to 1.8 (or 9/5) Fahrenheit degrees. After adjusting for the 32°F offset, we get the conversion formula.
Common Mistake to Avoid:
A common error is forgetting to add the 32 after multiplying the Celsius value by 1.8. That addition adjusts for the difference in where the two scales begin.
Final Answer:
A. 194\boxed{\text{A. 194}}