SOLUTION: The velocity of sound in dry air increase as the temperature increases. At 40 degrees sound travels at a rate of 355 meters per second. At 49 degrees sound travels at a speed of

Algebra ->  Finance -> SOLUTION: The velocity of sound in dry air increase as the temperature increases. At 40 degrees sound travels at a rate of 355 meters per second. At 49 degrees sound travels at a speed of       Log On


   

Question 1094097: The velocity of sound in dry air increase as the temperature increases. At 40 degrees sound travels at a rate of 355 meters per second. At 49 degrees sound travels at a speed of 360 meters per second. Write a linear model for the velocity v (in meters per second) of sound based on the temperature T (in degrees Celsius). Then use your model to estimate the velocity of sound at 60 degrees.
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
V = V%5B49%5D + %28%28360-355%29%2F%2849-40%29%29%2A%28T-49%29 = 

  = 360 + %285%2F9%29%2A%28T-49%29,


where V is the velocity of sound in m/s, T is the temperature in degrees Celsius.


To find the value of V at 60 degrees Celsius, substitute T = 60 to the formula and calculate.