1. Review: 6.5g Mini-Quiz 1. Find 2 consecutive positive integers whose product is 182. 2. Find 2 consecutive positive odd integers whose product is 99.

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

3. Solving real world word problems involving Quadratic Equations Chapter 6 – Factoring and Solving Equations Section 5h

4. An object is dropped from a cliff 400 feet above the ground. Find the time t (in seconds) for the object to reach the ground by solving the equation: –16t 2 + 400 = 0 –16t 2 + 400 = 0 (t + 5)(t – 5) = 0 –16 Answer: An object dropped from a cliff 400 feet above the ground will reach the ground in 5 seconds. t = {-5, 5} –16 t 2 – 25 = 0 time cannot be minus

5. t = {-8, 10} An object is thrown upward from the Royal Gorge Bridge in Colorado, 1280 feet above the Arkansas River, with an initial velocity of 32 feet per second. The height h (in feet) of the object is modeled by the position equation: h = –16t 2 + 32t + 1280 where t is the time measured in seconds. How long will it take for the object to reach the water? Answer: An object thrown upward from the Royal Gorge Bridge with an initial velocity of 32 feet per second will reach the water in 10 sec. h = –16t 2 + 32t + 1280 16t 2 – 32t – 1280 = 0 time cannot be minus (t + 8)(t – 10) = 0 16 t 2 – 2t – 80 = 0

6. Homework 369/57 and 59

7. Lesson Summary: Objective: Students will solve real world word problems involving quadratic equations.

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