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Ask math questions for the second year of junior high school.
Solution: 1 It is known that the daily sales volume is y and the unit price is X.

Since there is a linear function between the daily sales volume Y and the unit price X, let this linear function be: Y=kX+b, and the profit will be (X-8)*Y=(X-8)*(kX+b).

and

If you sell at 10 yuan/kg, you can sell 300kg every day, that is, when X= 10, Y=300, that is, 10k+b=300.

If you sell it at 13 yuan/kg, you can make a profit in 750 yuan every day. When X= 13, (X-8)*(kX+b)=750, that is, (13-8) * (13k+b) = 750.

Combining the above two equations, k=-50 and b=800.

Substitute k=-50 and b=800 into Y=kX+b to get y =-50x+800 (x >); 0)

2. solution: the price y of each line is a linear function of everyone's original price X.

Let this linear function be: y = kx+b.

When the original price X= 1800, the corresponding current price Y=2 100.

When the original price X=2300, the corresponding current price Y=2800.

Substitute (1800,2100) and (2300,2800) into the equation: y = kx+b.

Simultaneous solution: k= 1.4 b=-420.

The functional relationship between y and x is Y= 1.4X-420.