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The wavelength,w.of a wave of a certain frequency varies directly as the velocity. v, of the wave. W = 60 ft when v= 15 ft/s. Find w when v = 3 ft/s.

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EXPLANATION

First we need to find the direct variation function:


w=k\cdot\\u

Then we need to use the given information λ=60 v=15 and write the equation:


60=k\cdot15

Dividing both sides by 15:


(60)/(15)=k

Simplifying:


4=k

So, the function is:


w=4\cdot\\u

Now, we use this function to find w when v=3:


w=4\cdot3=12ft

The wavelength is 12ft

User Juan Eizmendi
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