Cluster 1 Fundraising is modeled with points (6, 0) and (26, 0). The earning reaches its maximum of 22 hundred dollars. Determine the model equation in vertex

College Algebra (MindTap Course List)
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Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 104E
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Cluster 1 Fundraising is modeled with points (6, 0) and (26, 0). The earning reaches its maximum of 22 hundred dollars.

Determine the model equation in vertex or standard form. Then find the maximum earning.

 

The said fundraising activity can be modeled with a parabola (the graph of a quadratic function). In the quadratic model, “x” is used as the price of goods (in dollars per unit) and “y” as the earnings (in hundreds, i.e. 15 means 15 hundred dollars or 1500 dollars).

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