1. Understand the concepts of joint and inverse variation:
When a variable varies jointly with a variable , it means is directly proportional to . Mathematically, it can be written as where is the constant of proportionality.
When a variable varies inversely with a variable , it means is inversely proportional to , and the relationship is
If a variable varies jointly with and inversely with , the relationship is
2. Apply to the wave problem:
Given that the frequency of a wave varies jointly with its speed and inversely with its wavelength .
The correct equation is