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y varies directly as w². When y = 8, w = 2, find y when w = 3

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y varies directly as w². When y = 8, w = 2, find y when w = 3

  • A. 18
  • B. 6
  • C. 9
  • D. 12

QUICK ANSWER…

A

SOLUTION 

y α w²

y = Kw²

where k = constant.

Therefore,

y/w² = k = 8/2² = 8/4 = 2

Constant = 2, now let’s use the constant to solve for y when w = 3,

Again, y = Kw²

y = 2 × 3² = 2 × 9 = 18

Now for the right answer to the above question:

  1. Option A is correct.
  2. Option B is incorrect.
  3. C is incorrect.
  4. D is not the correct answer.
RELATED!  If w varies inversely as uv/(u+v) and w = 8...

KEY-POINTS…

You may please note these/this:

  • Write down the proportionality equation,
  • Remove the sign of proportionality and introduce a constant,
  • Solve for this constant and use it to do subsequent calculations. These are the steps.

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/ culled from 2015 JAMB-UTME mathematics past question 49 /

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