P varies directly as q. When q=31.2,p=20.8. Find p when q=15.3.

a)   p = 10.20

Step-by-step explanation:

Step(i):-

Given that   p varies directly as q

               p ∝ q

       ⇒    p = k q

where 'K' is proportionally constant

given p =20.8 and q = 31.2

            p = k q

       ⇒ 20.8 = k (31.2)

          k = 0.666

Step(ii):-

   p = k q

Given that  q = 15.3 and k = 0.666

  p = 0.666 ×15.3 = 10.20

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