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Inverse variation: solve a practical problem

DIFFICULTYstandardchallengeexam
QUESTION TYPEMix of allChange
inverse variation, 1 power, forward, exact, lower-inputinverse variation, 1 power, forward, exact, higher-inputinverse variation, 1 power, backward, exact, lower-inputinverse variation, 1 power, backward, exact, higher-inputNOWMix of allRecommended
Question 1 of 8

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Let \(x\) be the wavelength, measured in m, and \(y\) be the frequency index, measured in units

The frequency index varies inversely as the wavelength

A known pair is wavelength \(8\,\text{m}\) and frequency index \(1.875\,\text{units}\)

(a)1 mark

Find the constant \(k\) in \(y=\frac{k}{x}\)

(b)1 mark

Use the completed variation rule to determine the frequency index at \(4\,\text{m}\)