To solve this problem you must apply the proccedure shown below:
1. First, you must calculate the constant of proportionality [tex] k [/tex]. You have that the pitch of a musical note varies inversely as its wavelength, therefore:
[tex] pitch=\frac{k}{wavelenght} \\ 440=\frac{k}{2.4} [/tex]
2. Now, solve for [tex] k [/tex]:
[tex] k=(440)(2.4)=1056 [/tex]
3. If the pitch of a tone that has a wavelength of [tex] 1.6 feet [/tex], you must substitute the values of the constant of proportionality and this value of the wavelenght into the equation shown above:
[tex] pitch=\frac{1056}{1.6}\\ pitch=660 vibrations [/tex]
The answer is: [tex] 660 vibrations [/tex]
