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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 w****²****. When y = 8, w = 2, find y when w = 3**

**A. 18****B. 6****C. 9****D. 12**

**QUICK ANSWER…**

**A**

**SOLUTION****… **** **

**y ****α**** ****w****²**

**y = Kw²**

**where k = constant.**

**Therefore,**

**y/****w****² = 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 the****se/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 /**