Question

To conserve energy, room temperatures are kept at 68.0ºF in the winter and 78.0ºF in the summer. What are these temperatures on the Celsius scale?

a) (20.0ºC, 25.6ºC)
b) (15.6ºC, 22.2ºC)
c) (20.0ºC, 26.7ºC)
d) (15.6ºC, 25.6ºC)

Answer 1

To convert 68.0°F to Celsius, apply the formula to get 20.0°C, and for 78.0°F, the equivalent in Celsius is 25.6°C. So, the room temperatures are 20.0°C in the winter and 25.6°C in the summer.

Therefore, the answer is (a) 20.0°C, 25.6°C.

Step-by-step explanation:

To determine the room temperatures of 68.0°F in the winter and 78.0°F in the summer on the Celsius scale, we must use the formula for converting Fahrenheit to Celsius: C = (F - 32) × 5/9, where F is the temperature in degrees Fahrenheit and C is the temperature in degrees Celsius.

Applying the formula:

• Winter: C = (68.0 - 32) × 5/9 = 36.0 × 5/9 ≈ 20.0°C
• Summer: C = (78.0 - 32) × 5/9 = 46.0 × 5/9 ≈ 25.6°C

Therefore, the answer is (a) 20.0°C, 25.6°C.

To convert 68.0°F to Celsius, apply the formula to get 20.0°C, and for 78.0°F, the equivalent in Celsius is 25.6°C. So, the room temperatures are 20.0°C in the winter and 25.6°C in the summer.