Solve.
-The pitch P of a musical tone varies inversely as its wavelength W. One tone has a pitch of 394 vibrations per second and a wavelength of 11.4 ft. Find the wavelength of another tone that has a pitch of 430 vibrations per
Second. Round to the nearest hundredths when necessary.
A)0.1 ft
B)10.45 ft
C)14,861.4 ft
D)1.05 ft

Question

Quizplus · Accepted Answer

The relationship between pitch (P) and wavelength (W) is inversely proportional, so $P = k/W$, where $k$ is a constant. For the first tone, $394 = k / 11.4$, so $k = 394 \times 11.4$. For the second tone with a pitch of 430 vibrations per second, $430 = k / W$. Substituting the value of $k$ from the first equation into the second gives $430 = (394 \times 11.4) / W$. Solving for $W$ gives $W \approx 10.45$ ft.

Solve. -The Pitch P of a Musical Tone Varies Inversely as as Its