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If y varies inversely as x and y = 0.8 when x = 1.8, find y when x = 4.8

User Maddhruv
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1 Answer

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Answer: y = 0.3

Explanation:

The statement is expressed as:

y ∝ 1/x

To convert this to an equation, we introduce k, which is the constant of variation.

y = k × 1/x

y = k/x

To find k use the given condition that y = 0.8 when x = 1.8

y = k/x

0.8 = k/1.8

k = 0.8 × 1.8

k = 1.44

When x = 4.8

y = k/x

y = 1.44/4.8

y = 0.3

User George Paoli
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