$55.$ I need MatLab code, show all work. Will thumbs up$.$When traveling through a gas, the speed of sound depends primarily on the density of the medium. The less dense the medium, the faster the speed will be$.$ The following table shows the approximate speed of sound at $0$ degree celsius, measured in meters per second, when traveling through carbon dioxide, air, helium, and hydrogen.

$\backslash$table$[[$Medium$,$Speed $($meters per sec$.)],[$Carbon dioxide,$258\mathrm{.}0],[$Air$,331\mathrm{.}5],[$Helium$,972\mathrm{.}0],[$Hydrogen$,1270\mathrm{.}0]]$

Write a program that displays a menu allowing the user to select one of these $4$ gases. After a valid selection has been made, the program should ask the user to enter the number of seconds $(0$ to $30)$ it took for the sound to travel in this medium from its source to the location at which it was detected. The program should then report how far away $($in meters$)$ the source of the sound was from the detection location.

Input Validation: The program should ensure that the user has selected one of the available menu choices and should only prompt for the number of seconds if the menu choice is legal.