Suppose \( a \) varies directly as \( b \), and \( a = 7 \) when \( b = 2 \). Find \( b \) when \( a = 21 \).

To solve for 'b' when 'a' = 21 in a direct variation **relationship **where 'a' = 7 when 'b' = 2, first determine the constant of proportionality. Then, insert 'a' into the formula and solve for 'b'. The solution of 'b' would be 6. ;

Answered by NormanReedus | 2024-06-18

because α varies directley to β α = k β (k = constant)
α=7 when β=2 7= 2k k= 2 7 ​
so when α=21 21= 2 7 ​ b b= 6

Answered by jackattackblunt | 2024-06-24

To find b when a = 21 , we first determine the constant of proportionality from the initial conditions and then solve for b by substituting a into the equation. The result shows that b = 6 .
;

Answered by NormanReedus | 2024-10-02