1. Review: 6.5h Mini-Quiz 1.Solve: An object is dropped from a cliff 480 ft above the ground. Find the time t (in sec) for the object to reach the ground by solving the equation: –16t 2 + 1600 = 0 2. Solve: A diver jumps from a diving board that is 80 ft above the water with an initial velocity of 64 ft per sec. The height h (in ft) is modeled by the position equation: h = –16t 2 + 64t + 80 where t is the time measured in sec. How long will it take for the diver to reach the water?

2. Objective: Students will solve real world word problems involving quadratic equations. (continued)

3. Solving real world word problems involving Quadratic Equations (continued) Chapter 6 – Factoring and Solving Equations Section 5i

4. Let w = the width of the picture frame A = l w w(w + 4) = 32 w 2 + 4w -32 = 0 Solve: The length of a rectangular picture frame is 4 inches greater than its width. The area of the picture frame is 32 square inches. Find the dimensions of the picture frame. Then w + 4 = the length of the picture frame (w + 8)(w – 4) = 0 w = {-8, 4} Answer: the width is 4 and the length is 8 MUST BE POSITIVE

5. Preview 370/63 The length of a rectangular poster is 2 times its width. The area of the poster is 648 square inches. Find the dimensions of the picture frame. A = l w Let w = the width of the picture frame Then ? = the length of the picture frame

6. Preview 370/65 An open box is to be made from a square piece of material by cutting two-inch squares from the corners and turning up the sides (see figure). a)Show that the volume of the is box is given by V = 2x 2 b)Complete the table. c)Find the dimensions of the original piece of material when V = 200 cubic inches.

7. Homework 370/61-65 odd

8. Lesson Summary: Objective: Students will solve real world word problems involving quadratic equations. (continued)

9. Preview of the next Lesson: Objective: Students will solve real world word problems involving quadratic equations. (continued)