question_answer

It is given that I varies directly as m.

(a) Write an equation which relates 1 and m.

(b) Find the constant of proportion (k), when 1 is 6 then m is 18.

(c) Find 1, when m is 33.

(d) Find m when 1 is 18.

Answer:

Given I \[\propto \] m

(a) I = km, where k is a constant

(b) l = 6, m = 18

l =km

\[6\text{ }=\text{ }k\times 18\]

\[\Rightarrow \]         \[k=\frac{6}{18}\]

\[\therefore \]            \[k=\frac{1}{3}\]

(c)      m =33, l=?

\[\because \] I = km

\[l=\frac{1}{3}\times 33\]     \[\left[ \because \,\,k=\frac{1}{3} \right]\]

\[\therefore \]            l=11

(d) l = 8,m=?

l=km

\[\Rightarrow \]        \[8=\frac{1}{3}\times m\]

M=24