SOLUTION: Please help me solve this problem: Amanda is having new tile installed in her kitchen. TileAll charges a flat fee of $378.00 plus $15.00 per tile. KitchenPlus charges a flat fee

Question 1042478: Please help me solve this problem:
Amanda is having new tile installed in her kitchen. TileAll charges a flat fee of $378.00 plus $15.00 per tile. KitchenPlus charges a flat fee of $550.00 plus $14.50 per tile. Amanda has a 10% discount coupon at KitchenPlus.
If Amanda purchases x tiles, what will the following expression be to model the average cost per tile at KitchenPlus.
How many tiles does Amanda have to order for the average cost per tile to be equal at both TileAll and KitchenPlus?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Please help me solve this problem:
Amanda is having new tile installed in her kitchen.
TileAll charges a flat fee of $378.00 plus $15.00 per tile.
T(x) = 378 + 15x
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KitchenPlus charges a flat fee of $550.00 plus $14.50 per tile.
K(x) = 550 + 14.50x
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Amanda has a 10% discount coupon at KitchenPlus.
If Amanda purchases x tiles, what will the following expression be to model the average cost per tile at KitchenPlus.
Total cost with the 10% discount:: 0.9(550+14.5x)
Average cost:: [0.9(550+14.5x)/x = (495+13.5x)/x
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How many tiles does Amanda have to order for the average cost per tile to be equal at both TileAll and KitchenPlus?
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Solve (495+13.5x)/x = (378+15x)/x
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495x + 13.5x^2 = 378x + 15x^2
1.5x^2 - 117x = 0
x(1.5x-117) = 0
x = 78 tiles
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Cheers,
Stan H.
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