Round your answer to two decimal places.
-The pitch P of a musical tone varies inversely as its wavelength W. One tone has a pitch of 463 vibrations per second and a wavelength of 14.4 ft. Find the wavelength of another tone that has a
Pitch of 370 vibrations per second. Round to the nearest tenth.
A) 18 ft
B) 0 ft
C) 0.1 ft
D) 11,896.5 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, $P = 463$ when $W = 14.4$. We can find $k$ by rearranging the formula to $k = P \times W$, so $k = 463 \times 14.4$. For the second tone with $P = 370$, we use the same constant $k$ to find the new wavelength $W$, using $W = k / P$. Substituting the values, we find the wavelength for the second tone, which rounds to 18 ft when calculated correctly.

Round Your Answer to Two Decimal Places