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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:
- Option A is correct.
- Option B is incorrect.
- C is incorrect.
- D is not the correct answer.
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 /