Convert 94 degrees Fahrenheit to its equivalent measure on the Celsius scale. Round to the nearest tenth degree. Use the formula shown below:
??=95??+32
111.6 degrees ??
84.2 degrees ??
34.4 degrees ??
201.2 degrees C
The Correct Answer and Explanation is:
To convert 94 degrees Fahrenheit to Celsius, we will use the formula: C=59(F−32)C = \frac{5}{9} (F – 32)
Where:
- CC is the temperature in Celsius
- FF is the temperature in Fahrenheit
Step-by-step Conversion:
- Substitute 94°F into the formula: C=59(94−32)C = \frac{5}{9} (94 – 32)
- Simplify the expression inside the parentheses: 94−32=6294 – 32 = 62 Now, the equation becomes: C=59×62C = \frac{5}{9} \times 62
- Multiply: 5×62=3105 \times 62 = 310 Now, we have: C=3109C = \frac{310}{9}
- Divide: C≈34.4C \approx 34.4
So, 94°F is approximately equal to 34.4°C.
Explanation:
This formula is derived from the relationship between the Fahrenheit and Celsius temperature scales. The formula C=59(F−32)C = \frac{5}{9} (F – 32) accounts for the fact that the Fahrenheit scale has a different zero point (32°F) and different size degree intervals compared to the Celsius scale.
To break it down:
- The Fahrenheit scale begins at 32°F for the freezing point of water, while the Celsius scale starts at 0°C for the same freezing point.
- The size of each degree on the Fahrenheit scale is smaller than that on the Celsius scale, so a given difference in temperature on the Fahrenheit scale corresponds to a larger difference on the Celsius scale.
- The factor of 59\frac{5}{9} accounts for this difference in degree sizes between the two scales.
This formula helps convert any temperature between the two scales accurately. By substituting the Fahrenheit temperature into this formula, we can convert it to its Celsius equivalent, as shown in this example where 94°F equals 34.4°C.
Conclusion:
The correct answer is 34.4°C, and this process of converting between Fahrenheit and Celsius is a simple yet useful way to translate temperature measurements across different systems.