Math Challenges

The speed of sound through sea water is linearly related to the temperature of the water. If sound travels at 1,403 m/sec at 0C and at 1,481 m/sec at 20C, construct a linear model relating the speed of sound (s) and the air temperature (t).

a) Find a relationship of the form s = mt+b where t is in degrees Celsius and s is the speed of sound in meters per second.
b) Find the speed of sound at a temperature of 15C.
c) Find the temperature if the speed of sound is 1,500 m/sec.