is inversely proportional to the square of . When , . Find the value of when .

Answer and explanation

Correct answer: D.

  1. Step 1: Set up the proportionality equation: .
  2. Step 2: Find the constant of proportionality using : .
  3. Step 3: Calculate when : .
Answer
.
Why not the others: assumes direct inverse proportionality (); inverts the calculation; squares the initial ratio incorrectly.

Practise more Ratio, Proportion, Probability and Statistics.

Free questions with an explanation for every one, and full timed UK GCSE mock tests.