Final answer:
The estimated speeds of sound at 37°C, -1°C, 15°C, and -18°C are 20,532 m/s, 20,266 m/s, 20,378 m/s, and 20,147 m/s, respectively, calculated using the formula s = 20,273 + 7T.
Step-by-step explanation:
The student's question seeks to estimate the speed of sound in air at various Celsius temperatures using the formula s = 20,273 + 7T, where T is the temperature in degrees Celsius. According to the given relationship, for each temperature increment of 1 degree Celsius, the speed of sound increases by 7 meters per second from a baseline of 20,273 m/s.
- For A. 37°C: s = 20,273 + (7 × 37) = 20,273 + 259 = 20,532 m/s (rounded to 20,532 m/s).
- For B. -1°C: s = 20,273 + (7 × (-1)) = 20,273 - 7 = 20,266 m/s (rounded to 20,266 m/s).
- For C. 15°C: s = 20,273 + (7 × 15) = 20,273 + 105 = 20,378 m/s (rounded to 20,378 m/s).
- For D. -18°C: s = 20,273 + (7 × (-18)) = 20,273 - 126 = 20,147 m/s (rounded to 20,147 m/s).
Note that these estimates are based on the student's provided formula and real-world values may vary due to atmospheric conditions and the approximation of the formula itself.