If n varies directly as m, complete the following table.m356.5...1.25n

If n varies directly as m, complete the following table.m356.5...1.25n1220...28...

Answer»

Given, n varies directly as m

∴ n ∝ m

∴ n = km …(i) where, k is the constant of variation

i. When m = 3, n = 12

∴ Substituting m = 3 and n = 12 in (i), we get n = km

∴ 12 = k × 3

∴ k = 12/3

∴ k = 4

Substituting, k = 4 in (i), we get n = km

∴ n = 4m …(ii)

This is the equation of variation.

ii. When m = 6.5, n = ?

∴ Substituting, m = 6.5 in (ii), we get n = 4m

∴ n = 4 × 6.5

∴ n = 26

iii. When n = 28, m = ?

∴ Substituting, n = 28 in (ii), we get n = 4m

∴ 28 = 4m

∴ m = 28/4

m = 7

iv. When m = 1.25, n = ?

∴ Substituting m = 1.25 in (ii), we get n = 4m

∴ n = 4 × 1.25

∴ n = 5

m	3	5	6.5	7	1.25
n	12	20	26	28	5