Mrs. Jones challenged her class with the following problem. Create an open-topped box with the greatest possible volume by cutting congruent squares from each corner of a 8" × 11" piece of construction paper.    1) Express the dimensions of the box in terms of x. 2) Write a formula to represent the volume of the box as a function of x. Write the answer in standard form. 3) Use the function to find the dimensions that will give the greatest possible volume

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
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 Mrs. Jones challenged her class with the following problem.

Create an open-topped box with the greatest possible volume by cutting congruent squares from each corner of a 8" × 11" piece of construction paper.

  

1) Express the dimensions of the box in terms of x.

2) Write a formula to represent the volume of the box as a function of x. Write the answer in standard form.

3) Use the function to find the dimensions that will give the greatest possible volume.

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