Question

A is directly proportional to b. When a is 6, b is 72. Find b when a is 8. 3

Answer 1

a) "K" is proportional Constant K= 0.0833

b) The value of b = 99.639

Explanation:

Explanation :-

Given 'a' is directly proportional to 'b'

a ∝ b

a = k b ....(i)

where "K" is proportional Constant

Case(i):-

when a =6 and b=72

a = k b

⇒ 6 = k (72)

⇒
`K = (6)/(72) = (1)/(12) = 0.0833`

Case(ii):-

Given a = 8.3

a = k b

⇒ 8.3 = 0.0833 ×b

⇒
`b = (8.3)/(0.0833) = 99.639`

Final answer:-

a)"K" is proportional Constant K= 0.0833

b) The value of b = 99.639