Question

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

Answer 1

Answer:

a)  "K" is proportional Constant   K= 0.0833

b)     The value of b = 99.639

Step-by-step 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)

       ⇒  $K = \frac{6}{72} = \frac{1}{12} = 0.0833$      

Case(ii):-      

Given  a = 8.3  

          a  =  k b    

⇒   8.3 = 0.0833 ×b

⇒  $b = \frac{8.3}{0.0833} = 99.639$

Final answer:-

a)"K" is proportional Constant   K= 0.0833

b)     The value of b = 99.639