Inverse Variation

In this video, we meet Slash McFender, a rock 'n' roller with a habit of forgetting his guitar at home. Slash has the brilliant idea to use his chest hairs for strings (gross, we know, but he had a show in fifteen minutes, okay?). Learn how to use inverse variation and the constant of proportionality to compare the vibration frequency of his chest hairs to the length of his chest hairs. If Slash’s new musical method catches on, we might be rocking out in our garages using our armpit hair in the near future. Shudder.

Algebra IIFunctions
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Transcript

00:24

place him too Suppose that the frequency of vibration of

00:31

slashes chest hair is inversely proportional to the hair's length

00:39

If one of slashes hairs zero point seven inches long

00:43

and vibrates at five What frequency in hurts with zero

00:47

point five inch long chest hair Have we start by

00:52

calling a frequency and the length of the chest Hair

00:56

elf problem tells us that the formula for the frequency

00:59

of f is one over health So f equals k

01:04

over l where kate is the constant of proportionality Find

01:12

kay Weaken fug in what we know Frequency is people

01:16

five and this is and our length is zero point

01:19

seven by multiplying both sides by zero point seven Way

01:35

See that k equals three point five Plugging this new

01:39

value into our formula way Get f people three point

01:42

five divided by zero point five giving us the frequency

01:46

f a zero point five inch long chest hair so

01:50

the answer is seven hertz The bad news is that

01:54

slash love fiber desk new sounds so much that he

01:57

has asked him Fan waits to start going shirtless is

01:59

well and throw away their gillette's adds a new spin

02:03

on air guitar he's really redefining the term here baby 00:02:17.854 --> [endTime] All right