function f gives the temperature, in degrees Celsius, t hours after midnight. f(13.5 = 20Which statement describes this situation?A. At 1:35 a.m., the temperature was 20°C.B. At 8:00 p.m., the temperature was 13.5°C.C. At 1:30 p.m., the temperature was 20°C.D. At 2:00 a.m., the temperature was 13.5°C

Answer 1

To find the correct statement, we first need to interpret what f(13.5) = 20 means in terms of time and temperature.

The function \( f(t) \) gives the temperature in degrees Celsius at \( t \) hours after midnight.

1. Understanding the input 13.5:

   • The value 13.5 hours after midnight corresponds to 1:30 p.m. (since 13 hours is 1:00 p.m. and 0.5 hours is 30 minutes).

2. Understanding the output value:

   • It tells us that at 1:30 p.m. (or 13.5 hours after midnight), the temperature is 20°C.

Now, we will analyze each statement:

A. At 1:35 a.m., the temperature was 20°C.

• Incorrect. At 1:35 a.m., it would be approximately 1.58 hours after midnight.

B. At 8:00 p.m., the temperature was 13.5°C.

• Incorrect. 8:00 p.m. is 20 hours after midnight, and the function does not provide this information.

C. At 1:30 p.m., the temperature was 20°C.

• Correct. This matches what we deduced from f(13.5) = 20.

D. At 2:00 a.m., the temperature was 13.5°C.

• Incorrect. At 2:00 a.m., it would be 2 hours after midnight, which is not relevant to the function's output at 13.5 hours.

Based on the analysis, the correct statement is: C. At 1:30 p.m., the temperature was 20°C.