A musical instrument has a pitch of 220 hertz when the wavelength is 3 feet. When the wavelength is 4 feet, the pitch is 165 hertz. What is the type of variation between pitch and wavelength? What is the pitch when the wavelength is 5 feet? hertz
we know that Inverse Variation is a relationship between two variables in which the product is a constant so let x------> a pitch of a musical instrument y------> the wavelength x*y=k
find the value of k
for x=220 hertz y=3 ft x*y=k 220*3=k k=660
for x=165 hertz y=4 ft x*y=k 165*4=660 k=660
the answer part a) is the type of variation between pitch and wavelength is an inverse variation
part b) What is the pitch when the wavelength is 5 feet? x=? y=5 ft k=660 x*y=k------> solve for x x=k/y----------> x=660/5-----> x=132 hertz
