Sunday, November 15, 2009

Problem 3.5: Finding the Point of Intersection

In class on Friday, we continued the problem on finding the point of intersection.

The point of intersection is where two sets of data break even. In a table, the two columns are the same at the same value of x, and on a graph, the two sets break even when the two lines intersect., and in an equation you make each equation equal the other and then solve for the variable. In the problem with Fabian's Fabulous Bakery, the equation for his expenses was E=825+3.25n, and the equation for his income was I=8.20n. In this case, the point of intersection is where Fabian no longer owes any money and is ready to start making a profit. To use the equation, you would put the expression for his expenses on one side and the expression for his income on the other side, and then solve for the variable. The equation to find the break even point for Fabian would be 825+3.25n=8.20n. The solution is 166 2/3, so Fabian would have to sell 167 cakes to be out of debt because he cannot sell 2/3 of a cake.

Post by: Peter S.

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