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Reptile [31]
3 years ago
8

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 her

tz. What is the type of variation between pitch and wavelength? What is the pitch when the wavelength is 5 feet? hertz
Mathematics
1 answer:
earnstyle [38]3 years ago
4 0
We know that
Inverse Variation is a<span> relationship between two variables in which the product is a constant
so
let
x------> a pitch of a musical instrument
y------> </span><span>the wavelength
x*y=k

find the value of k

for x=</span><span>220 hertz   y=3 ft
</span><span>x*y=k
220*3=k
k=660

</span>for x=165 hertz   y=4 ft
x*y=k
165*4=660
k=660<span>

the answer part a) is
</span><span>the type of variation between pitch and wavelength is an inverse variation
</span>
part b) <span>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

the answer Part b) is
132 hertz</span>
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