Question

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

Answer 1

a) p = 10.20

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 = (20.8)/(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