Quadratic function, practical problems Zhenhua agency sells a kind of building material on behalf of a factory. When the selling price per ton is 260 yuan, the monthly sales volume is 45 tons. In order to improve the operating profit, the agency is prepared to reduce the price for promotion. According to the market survey, when the selling price per ton decreases by 10 yuan, the monthly sales volume will increase by 7.5 tons, A total of 100 yuan will be paid to the manufacturer and other expenses for each ton of building materials sold. Suppose the selling price of each ton of materials is x yuan, and the monthly profit of the distributor is y yuan (1) Find the functional relationship between Y and X (it is not required to write the value range of x) (2) When the selling price is set at RMB per ton, what is the maximum monthly profit of the store?

Quadratic function, practical problems Zhenhua agency sells a kind of building material on behalf of a factory. When the selling price per ton is 260 yuan, the monthly sales volume is 45 tons. In order to improve the operating profit, the agency is prepared to reduce the price for promotion. According to the market survey, when the selling price per ton decreases by 10 yuan, the monthly sales volume will increase by 7.5 tons, A total of 100 yuan will be paid to the manufacturer and other expenses for each ton of building materials sold. Suppose the selling price of each ton of materials is x yuan, and the monthly profit of the distributor is y yuan (1) Find the functional relationship between Y and X (it is not required to write the value range of x) (2) When the selling price is set at RMB per ton, what is the maximum monthly profit of the store?

Analysis: (1) if the price per ton is 240 yuan, we can get a price reduction of 260-240 = 20 yuan. When the price per ton drops by 10 yuan, the monthly sales volume will increase by 7.5 tons. If the added value of the monthly sales volume is calculated, we can get the monthly sales volume at this time; (2) if the price per ton of materials