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Carrie is installing tiles in the entrance of her neighbor's home. The room is 4.4 ' by 8 'The porcelain tiles are 7" by 7" and cost $4.50 each. Her labor charge is $150.  What is the closest estimate to the cost of this job?a.615.50b.635.50c.153.23d.595.50

Question

Carrie is installing tiles in the entrance of her neighbor's home. The room is 4.4 ' by 8 'The porcelain tiles are 7" by 7" and cost 4.50each.Herlaborchargeis4.50 each. Her labor charge is 150.  What is the closest estimate to the cost of this job?a.615.50b.635.50c.153.23d.595.50

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Solution

First, we need to calculate how many tiles Carrie will need.

The area of the room is 4.4 feet by 8 feet, which is 35.2 square feet.

The area of each tile is 7 inches by 7 inches. To convert this to feet (since the room measurements are in feet), we remember that 1 foot is 12 inches. So, each tile is 7/12 feet by 7/12 feet, which is approximately 0.3403 square feet.

To find out how many tiles are needed, we divide the total area of the room by the area of each tile: 35.2 / 0.3403 = approximately 103 tiles.

Since each tile costs 4.50,thetotalcostforthetilesis1034.50, the total cost for the tiles is 103 * 4.50 = $463.50.

Adding the labor charge of 150,thetotalcostofthejobis150, the total cost of the job is 463.50 + 150=150 = 613.50.

So, the closest estimate to the cost of this job is $615.50 (option a).

This problem has been solved

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