A painter made the table below to show the amount of paint it takes to cover a certain amount of square feet. The amount of paint varies directly with the area of each wall. Amount of Paint and Size of Wall Area of wall mc017-1.jpg, x 64 144 400 Amount of paint (pints), y 4 9 25 How much paint should the painter expect to use to paint a wall with an area of 256 square feet?
16 pints
32 pints
128 pints
225 pints

Respuesta :

 Assuming no windows or doorways, there are 2 walls that have an area of 20*8 and 2 that are 18*8. That creates a total area of: 

160*2 + 144*2 = 608 square feet 
The ceiling adds 20*18 = 360 square feet 
Total per coat is 968 square feet. 
Multiply that by 2 for 2 coats: 
2*968 = 1936 
Divide that by 400 and the nearest half gallon is 5.0 gallons (4.84 rounded to the nearest .5)

16 pints should the painter expect to use to paint a wall with an area of 256 square feet.

We have tale

Area of wall :                  x        64       144       400

Amount of paint (pints):  y        4           9           25

The ratio of each  Area of wall to Amount of paint  is

[tex]\frac{64}{4} =\frac{144}{9} =\frac{400}{25} =16[/tex]

So, The amount of paint required for 256 square feet is:

[tex]\frac{256}{16} =16[/tex]

Therefore 16 pints should the painter expect to use to paint a wall with an area of 256 square feet.

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