Respuesta :
Answer:
0.6 liters paint will he need to cover [tex]0.5 m^2[/tex]
Step-by-step 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 [tex]y\propto x[/tex]
It is given that the painter uses 1.2 liters of paint to cover [tex]1 m^2[/tex]
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,
[tex]\frac{y_{1}}{y_{2}} =\frac{x_{1}}{x_{2}}[/tex] or
[tex]\frac{y_{1}}{x_{1}} =\frac{y_{2}}{x_{2}}[/tex]
therefore, from the given information we have;
[tex]\frac{1.2}{1}= \frac{y_{2}}{0.5}[/tex]
Simplify:
[tex]y_{2}= 0.5 \cdot 1.2 =0.6[/tex]
Therefore, 0.5 liters paint required by the painter to cover the area [tex]0.5 m^2[/tex]
