The temperature is 94 degrees Fahrenheit. What is this temperature in degrees Celsius? °C = ( F-32) x 5/9 °F = ( °C x 9 / 5 ) +32 201°C 29°c e 34 °C
The correct answer and explanation is:
To convert 94°F to °C, we use the formula: °C=(°F−32)×59°C = (°F – 32) \times \frac{5}{9}
Substitute 94°F94°F into the formula: °C=(94−32)×59°C = (94 – 32) \times \frac{5}{9}
Simplify the calculation: °C=62×59°C = 62 \times \frac{5}{9} °C=3109≈34.44°C°C = \frac{310}{9} \approx 34.44°C
Explanation:
The correct conversion gives approximately 34.44°C, not the other values mentioned (201°C, 29°C, or 34°C). Here’s how and why:
- Understanding the Formula:
The formula °C=(°F−32)×59°C = (°F – 32) \times \frac{5}{9} comes from the relationship between the Fahrenheit and Celsius scales.- The subtraction of 32 accounts for the offset between the scales, as 32°F is the freezing point of water, while 0°C is the freezing point on the Celsius scale.
- The multiplication by 59\frac{5}{9} adjusts for the difference in the size of degrees on each scale, as each degree Celsius is 59\frac{5}{9} the size of a degree Fahrenheit.
- Step-by-Step Conversion:
Breaking the calculation into smaller parts ensures accuracy:- Subtracting 32 from 94 gives 62.
- Multiplying 62 by 5 gives 310.
- Dividing 310 by 9 yields approximately 34.44.
- Avoiding Common Errors:
Missteps can occur by:- Forgetting to subtract 32 first.
- Using incorrect multiplication or division steps.
- Misinterpreting the result.
- Real-World Use:
Understanding temperature conversion is essential in science, travel, and weather reporting, especially in regions where Fahrenheit and Celsius scales are used interchangeably.
In conclusion, 94°F is approximately 34.44°C, which is warm but not excessively hot. Understanding this conversion helps clarify the temperature’s context in daily life.