Given:
frequency is inversely proportional to the string length
let y be the frequency = 518 hertz
let x be the string length = 54 cm
[tex]y=\frac{1}{x}[/tex]Asked: What will the frequency with a string length of 32 cm?
Solution:
[tex]32\operatorname{cm}\cdot\frac{518hertz}{\frac{1}{54}cm}=895,104\text{hertz}[/tex]ANSWER: 895,104 hertz