# SOLUTION: A home-made lefsa enterprise estimates that they can sell 30 dozen lefsa at $3.00 per dozen and 25 dozen lefsa at$4.00 per dozen. write a linear equation for the amount of lefsa s

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 Click here to see ALL problems on Linear Equations And Systems Word Problems Question 180188: A home-made lefsa enterprise estimates that they can sell 30 dozen lefsa at $3.00 per dozen and 25 dozen lefsa at$4.00 per dozen. write a linear equation for the amount of lefsa sold in terms of the price per dozen. use your equation to approximate the amount of lefsa sold at $5.00 per dozen. thanks for helping me on this!! Found 2 solutions by stanbon, solver91311:Answer by stanbon(57967) (Show Source): You can put this solution on YOUR website!A home-made lefsa enterprise estimates that they can sell 30 dozen lefsa at$3.00 per dozen and 25 dozen lefsa at $4.00 per dozen. write a linear equation for the amount of lefsa sold in terms of the price per dozen. use your equation to approximate the amount of lefsa sold at$5.00 per dozen. ----------------------------------- You have two points of the form (price,lefsa) They have (3,30) and (4,25) ------------------------------- m = (25-30)/(4-3) = -5 --------------------------- You have m=-5 and y = 25 when x = 4; solve for b in the form y = mx + b ------------- 25 = -5*4 + b b = 45 ---------- lefsa(in dozens) = -5(price) + 45 lefsa($5) = -5*5 + 45 lefsa($5) = 20 dozen ======================== Cheers, Stan H. Answer by solver91311(17077)   (Show Source): You can put this solution on YOUR website! Here you have a situation where the value 3 maps to the value 30 and the value 4 maps to the value 25. This is exactly the same as saying that you have two ordered pairs defining a straight line and the two ordered pairs are (3, 30) and (4, 25). Notice that when the x value increases by 1, the y value decreases by 5. That means that the slope of our line is -5. Also notice, using this slope number, that 2 would map to 35, 1 would map to 40, and 0 would map to 45. That tells us that the y-intercept of the line is 45. Now we can write the equation in slope intercept form directly: To calculate the sales at a \$5 price point, substitute 5 for x and do the arithmetic. John