inverse Variation

Question

The pitch of a musical note varies inversely as its wavelength. If a tone has a pitch of 440 vibrations per second and a wavelength of 2.4 feet, find the pitch of a tone that has a wavelength of 1.6 feet.

Answer 1

P= k/w

440=k/2.4 => k=440*2.4

P= 440*2.4/1.6

I will leave the arithmetic to you.

Answer 2

440 = k/2.4

k = 440*2.4 = 1056

y = 1056/x

x=1.6 ---> y = 660