Build Quadratic Models from Verbal Descriptions and from Data

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Presentation transcript:

Build Quadratic Models from Verbal Descriptions and from Data Section 3.4 Build Quadratic Models from Verbal Descriptions and from Data Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

The marketing department at Widgets Inc The marketing department at Widgets Inc. found that, when certain widgets are sold at a price of p dollars per unit, the number x of widgets sold is given by the demand equation x = 1500 – 30p Copyright © 2013 Pearson Education, Inc. All rights reserved

How many units are sold at this price? Graph R. The marketing department at Widgets Inc. found that, when certain widgets are sold at a price of p dollars per unit, the number x of widgets sold is given by the demand equation x = 1500 – 30p How many units are sold at this price? Graph R. What price should Widgets Inc. charge to collect at least $12,000 in revenue? So the company should charge between $10 and $40 to earn at least $12,000 in revenue. Copyright © 2013 Pearson Education, Inc. All rights reserved

A farmer has 1600 yards of fence to enclose a rectangular field A farmer has 1600 yards of fence to enclose a rectangular field. What are the dimensions of the rectangle that encloses the most area? The farmer should make the rectangle 400 yards by 400 yards to enclose the most area. Copyright © 2013 Pearson Education, Inc. All rights reserved

Find the maximum height of the projectile. Copyright © 2013 Pearson Education, Inc. All rights reserved

(b) How far from the base of the cliff will the projectile strike the water? Solution cannot be negative so the projectile will hit the water about 5458 feet from the base of the cliff. Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved