Question

The weight (W) of a piece of iron varies directly as its volume (V). Write this statement

using symbols​

Answer 1

Given : Statement

The weight (W) of a piece of iron varies directly as its volume (V).

To Find : Write the statement using symbols

Solution:

The weight (W) of a piece of iron varies directly as its volume (V).

=> W ∝ V

W = Weight

V = Volume

∝   symbol of proportionality

W = dV

where d is constant of proportionality and is density here

The weight (W) of a piece of iron varies directly as its volume (V)

W ∝ V

Additional Info:

Direct variation if a variable increases then other variable also increases with a constant factor   y = kx

inverse variation if a variable increases then other variable decreases with a  constant factor  xy = k

Joint variation is a relationship between atleast three variables, where one variable varies directly with all other variables.

y = kxz

Combined Variation  is a relationship between three or more variables where it is in direct variation with few variable and in inverse  variation with other variable  y = kx/z

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