Question

A painter uses 1.2 liters of the paint to cover 1m2 of the wall. How much paint will he need to cover 0.5m2?

Answer 1

0.6m

Explanation:

Answer 2

0.6 liters paint will he need to cover
`0.5 m^2`

Explanation:

Direct Variation states that the two quantities are related in such a way that increase in one quantity results in a corresponding increase in the other quantity and vice versa, then such type of a variation is called a direct variation.

i.e
`y\propto x`

It is given that the painter uses 1.2 liters of paint to cover
`1 m^2`

This is the situation of Direct Variation: As less area cover, less liters of paint.

Let two quantities are x and y;

x represents the area covered by painter

y represents the liters uses by the painter.

Then, the ratio of any two values of y is equal to the corresponding value of x.

i.e,

`(y_(1))/(y_(2)) =(x_(1))/(x_(2))` or

`(y_(1))/(x_(1)) =(y_(2))/(x_(2))`

therefore, from the given information we have;

`(1.2)/(1)= (y_(2))/(0.5)`

Simplify:

`y_(2)= 0.5 \cdot 1.2 =0.6`

Therefore, 0.5 liters paint required by the painter to cover the area
`0.5 m^2`