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Mkey [24]
3 years ago
7

The wavelength of a radio wave varies inversely as its frequency. A wave with a frequency of 720 kilohertz has a length of 500 m

eters. What is the length of a wave with a frequency of 450 kilohertz?
.......... meters
Mathematics
1 answer:
LenaWriter [7]3 years ago
4 0

Answer:

800 meters

Step-by-step explanation:

y is inversely proportional to x is the same as y is inversely proportional to \frac{1}{x}, that means

y=\dfrac{k}{x}.

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

500=\dfrac{k}{720}\\ \\k=500\cdot 720=360000.

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

y=\dfrac{360000}{450}=800

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