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Polynomial Word Problems

Polynomial Word Problems. Learning Goal. To apply knowledge of polynomial functions to real-life problems. Polynomial Word Problems Open Box.

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Polynomial Word Problems

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  1. Polynomial Word Problems

  2. Learning Goal To apply knowledge of polynomial functions to real-life problems.

  3. Polynomial Word ProblemsOpen Box An open box can be made by cutting out squares from the corners of a 9-inch by 12-inch rectangular sheet of cardboard and folding up the sides. Find the maximum volume of the box and the dimensions which yield the maximum volume. Diagram

  4. Polynomial Word ProblemsOpen Box An open box can be made by cutting out squares from the corners of a 9-inch by 12-inch rectangular sheet of cardboard and folding up the sides. Find the maximum volume of the box and the dimensions which yield the maximum volume. Function

  5. Polynomial Word ProblemsOpen Box An open box can be made by cutting out squares from the corners of a 9-inch by 12-inch rectangular sheet of cardboard and folding up the sides. Find the maximum volume of the box and the dimensions which yield the maximum volume. Sketch D: [0, 4.5] rw R: [0, 81.872] rw

  6. Polynomial Word ProblemsOpen Box An open box can be made by cutting out squares from the corners of a 9-inch by 12-inch rectangular sheet of cardboard and folding up the sides. Find the maximum volume of the box and the dimensions which yield the maximum volume. (1.697, 81.872) Solution: Maximum Maximum Volume: 81.872 cubic inches Dimensions: 1.697 inches by 5.606 inches by 8.606 inches

  7. Polynomial Word ProblemsThe package A package may be sent by mail only if the sum of its height and the perimeter of the base is not more than 72 inches. Find the dimensions of the box of maximum volume that can be sent if the base of the box is a square. Diagram

  8. Polynomial Word ProblemsThe package A package may be sent by mail only if the sum of its height and the perimeter of the base is not more than 72 inches. Find the dimensions of the box of maximum volume that can be sent if the base of the box is a square. Function

  9. Polynomial Word ProblemsThe Package A package may be sent by mail only if the sum of its height and the perimeter of the base is not more than 72 inches. Find the dimensions of the box of maximum volume that can be sent if the base of the box is a square. Sketch D: [0, 18] rw R: [0, 3456] rw

  10. Polynomial Word ProblemsThe Package A package may be sent by mail only if the sum of its height and the perimeter of the base is not more than 72 inches. Find the dimensions of the box of maximum volume that can be sent if the base of the box is a square. (12, 3456) Solution: Maximum Maximum Volume: 3456 cubic inches Dimensions: 12 inches by 12 inches by 24 inches

  11. Polynomial Word ProblemsThe Box with Lid Two congruent squares are removed from one end of a rectangular 10-inch by 20-inch piece of cardboard. Two congruent rectangles are removed from the other end as shown. Determine the value of x so that the resulting box has maximum volume. What is the maximum volume? Diagram

  12. Polynomial Word ProblemsThe Box with Lid Two congruent squares are removed from one end of a rectangular 10-inch by 20-inch piece of cardboard. Two congruent rectangles are removed from the other end as shown. Determine the value of x so that the resulting box has maximum volume. What is the maximum volume? Function

  13. Polynomial Word ProblemsThe Box with Lid Two congruent squares are removed from one end of a rectangular 10-inch by 20-inch piece of cardboard. Two congruent rectangles are removed from the other end as shown. Determine the value of x so that the resulting box has maximum volume. What is the maximum volume? Sketch D: [0, 5] rw R: [0, 96.225] rw

  14. Polynomial Word ProblemsThe Box with Lid Two congruent squares are removed from one end of a rectangular 10-inch by 20-inch piece of cardboard. Two congruent rectangles are removed from the other end as shown. Determine the value of x so that the resulting box has maximum volume. What is the maximum volume? Solution: Maximum (2.113, 96.225) Maximum Volume: 96.225 cubic inches Dimensions: 2.113 inches by 7.887 inches by 5.774 inches

  15. What I Learned Today

  16. Homework Assignment 4.5 Worksheet

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