27.7k views
3 votes
The wavelength of a radio wave varies inversely as its frequency. A wave with a frequency of 720 kilohertz has a length of 500 meters. What is the length of a wave with a frequency of 450 kilohertz?

.......... meters

User Onion
by
7.6k points

1 Answer

4 votes

Answer:

800 meters

Explanation:

y is inversely proportional to x is the same as y is inversely proportional to
(1)/(x), that means


y=(k)/(x).

If a wave with a frequency of x=720 kilohertz has a length of y=500 meters, then


500=(k)/(720)\\ \\k=500\cdot 720=360000.

Hence, the length of a wave y with a frequency of x=450 kilohertz is


y=(360000)/(450)=800

User Tim Lentine
by
7.7k points