Question

A is inversely proportional to B. When A is 10, B is 2. Find the value of A when B is 8​

Answer 1

Question :

A is inversely proportional to B. When A is 10, B is 2. Find the value of A when B is 8​

Answer :

 A = 2.5 when B = 2

Given :

• A is inversely proportional to B
• When A is 10, B is 2

To find :

• Value of A when B is 8

Solution :

 It is given,

=>  A is inversely proportional to B

        $A \propto \frac{1}{B} \\\\ \boxed{\bf A=\frac{constant}{B} }$

=> When A = 10, B = 2

              substitute the values of A and B

          $A=\frac{constant}{B} \\\\ 10=\frac{constant}{2} \\\\ constant=10\times2\\\\ \underline{\underline{\bf constant=20}}$

     

=> To find A, when B = 8

    Substitute the value of B and constant

          $A=\frac{constant}{B} \\\\ A=\frac{20}{8} \\\\ A=\frac{5}{2} \\\\ \underline{\underline{\bf A=2.5}}$

⇒ A = 2.5 when B = 8