It is given that l varies directly as m.(i) Write an equation which re

1.	It is given that l varies directly as m.(i) Write an equation which relates l and m.(ii) Find the constant of proportion (k), when l is 6 then m is 18.(iii) Find l, when m is 33.(iv) Find m when l is 8.
Answer» Since l varies directly as m. a. Equation related to l and m is 1/m = k (constant) b. if l = 6 and m = 18, then k = 6/18 = 1/3 c. If m = 33, then 1/m = 1/3 1/33 = 1/3 l = 33/3 = 11 d. If l = 8 1/m = k 8/m = 1/3 m = 8 x 3 = 24

It is given that l varies directly as m.(i) Write an equation which relates l and m.(ii) Find the constant of proportion (k), when l is 6 then m is 18.(iii) Find l, when m is 33.(iv) Find m when l is 8.

Answer»

Since l varies directly as m.

a. Equation related to l and m is 1/m = k (constant)

b. if l = 6 and m = 18, then k = 6/18 = 1/3

c. If m = 33, then

1/m = 1/3

1/33 = 1/3

l = 33/3 = 11

d. If l = 8

1/m = k

8/m = 1/3

m = 8 x 3 = 24