Convert 27 degrees Celsius to degrees Fahrenheit.
O a. 300.15 °F
O b. 80.6 °F
O c. 47 °F
O d. 16.6 °F
The Correct Answer and Explanation is:
To convert 27 degrees Celsius to degrees Fahrenheit, we use the standard formula:
$$
°F = (°C \times \frac{9}{5}) + 32
$$
Plugging in 27°C:
$$
°F = (27 \times \frac{9}{5}) + 32 = (27 \times 1.8) + 32 = 48.6 + 32 = \boxed{80.6\ °F}
$$
✅ Correct Answer: b. 80.6 °F
The Fahrenheit and Celsius scales are two common systems used to measure temperature. The Celsius (°C) scale, used widely around the world (especially in scientific contexts), sets the freezing point of water at 0°C and the boiling point at 100°C. On the other hand, the Fahrenheit (°F) scale, primarily used in the United States, sets the freezing point of water at 32°F and the boiling point at 212°F.
To convert temperatures between these two scales, a specific formula is used because the scales have different zero points and increments between degrees. The formula to convert Celsius to Fahrenheit is:
$$
°F = (°C \times \frac{9}{5}) + 32
$$
This formula multiplies the Celsius temperature by 9/5 (or 1.8) to adjust for the different size of a degree on each scale. Then, it adds 32 to account for the offset in their starting points (since 0°C = 32°F).
Let’s apply it to 27°C:
- Multiply 27 by 1.8: $$
27 \times 1.8 = 48.6
$$ - Add 32: $$
48.6 + 32 = 80.6
$$
So, 27°C = 80.6°F.
Let’s examine the other answer options:
- a. 300.15 °F — This value is incorrect; it’s closer to Kelvin, where 27°C is 300.15 K, not °F.
- c. 47 °F — Too low, possibly a result of a miscalculation.
- d. 16.6 °F — Much too low; may result from incorrect formula usage.
Thus, the correct and accurate conversion shows that 27°C equals 80.6°F, answer b.
