After a presidential election, the proportion h(p) of seats in the House of Representatives won by the

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After a presidential election, the proportion h(p) of seats in the House of Representatives won by the party of the winning presidential candidate may be modeled by the cube rule


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where p is the proportion of the popular vote received by the winning presidential candidate.


a. Find h'(p) and h"(p).


b. Sketch the graph of h(p).


c. In 1964, the Democrat Lyndon Johnson received 61% of the popular vote. What percentage of seats in the House does the cube rule predict should have gone to Democrats? 

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Calculus For Business, Economics And The Social And Life Sciences

ISBN: 9780073532387

11th Brief Edition

Authors: Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price

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