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JAMB Mathematics 2017 Paper

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Question : 32

Total: 44

y is inversely proportional to x and y is 6 when x = 7. Find the constant of the variation

47
42
54
46

Solution:

Concept:

Inverse proportion means

y = \frac{k}{x}

, where

k

is the constant of variation.

Explanation:

Since

y

is inversely proportional to

x

, write:

y = \frac{k}{x}

Given

y = 6

when

x = 7

, substitute these values:

6 = \frac{k}{7}

Multiply both sides by

7

:

k = 6 \times 7 = 42

Answer:

The constant of variation is

42

, which is option B.

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