1. 1 Chapter 5.6 TONY – KRISTIE - NEJI

2. 2 CHAPTER 5.6 WILL BE LIKE THIS...

3. 3

4. 4 CAN YOU HANDLE WHAT WE will throw at you? BE PREPARE...

5. 5 You will be thinking... You will be explaining... You will be killed or shot at... But you will learn more... Chapter 5.6

6. 6 Inverse variation An equation in the form xy = k or y = k/x, where k is not equal to 0, is an inverse variation. EX: xy = k 5(7) = k 35 = k xy = 35 The equation of the inverse variation is xy = 35, or y = 35/x

7. 7 Finding The missing COORDINATE Suppose (x 1, y 1 ) are two ordered pairs of an inverse variation. Each ordered pair of an inverse variation has the same product k, that is x 1 * y 1 = k and x 2 * y 2 = k. So x 1 * y 1 = x 2 * y 2. Did you get it dudes?

8. 8 Practice for n 00b (a.k.a chicken) Tommy weight of 120 kg is 5 ft from the fulcrum. Neji and Tony weight of 100 kg is x ft from the fulcrum. Weight and distance vary inversely. (Tommy is soooooooo big!!!) :P

9. 9 ``DEFINE Let weight1 = 120 kg Let weight2 = 100 kg Let distance1 = 5 ft Let distance2 = x ft weight1 * distance1 = weight2 * distance2

10. 10 WRITE IT DOWN! 120 * 5 = 100 * x 600 = 100x 600/100 = x 6 = x Neji and Tony should sit 6 ft from the fulcrum to balance the lever (...)

11. 11 Don’t be mad if you didn’t get this! (Be Communist)

12. 12

13. 13 Real world problem A shotgun fired 3000 rounds and need 16 times of pump. How many times of pump it need to fired 6000 rounds? It’s easy Try to do it yourself!

14. 14 Determining Direct or Inverse Variation X = 2 Simply as 5/2 = 2.5 Y = 5 10/4 = 2.5 25/10 = 2.5 This is a direct variation, and k = 2.5! Easy enough?

15. 15 Inverse variation XY: 5(20) = 100 10(10) = 100 25(4) = 100 So this is an inverse variation. And so k = 100 The equation is xy = 100

16. 16 Now it is time for graph Save the best for last This is a simple inverse variation graph. X = 0 Positive is in the 2 nd section in the top right Negative is in the 3 rd section in the bottom left

17. 17 Here is another graph example: A tank can run 8 miles per hour to cover a distance of 8 miles in 1 hour. Then the tank get hammered by artillery shells so it speed decreased to 4 miles per hour. So it take the tank 2 hour to cover the same distance. Here is the graph

18. 18 The End Thanks for paying attention Are there any question Ask now or forever hold your mouth!