Question

The velocity of sound in air is given by the equation =20√(273+t) , where v is the velocity in meters per second and t is the temperature in degrees Celsius. Find the temperature when the velocity is 329 meters per second by graphing the equation. Round the answer to the nearest degree. Show your work.

Answer 1

v = 20√(273 + t )

when v = 329
∴ 329 = 20 √(273 + t )
∴ √(273 + t ) = 329/20 = 16.45
273 + t = 16.45² = 270.6025
∴ t = -2.3975 ≈ -2 ( Rounded to the nearest degree )

See the attached figure for graphic solution