1. KM & PP 1 6. 2 S 1 Direct & Inverse Variation

2. KM & PP 2 Variation y varies directly as x y = kx k is a constant The harder he hits, the higher it goes! DIRECT Variation

3. KM & PP 3 Variation As the elevation increases, the oxygen concentration decreases! Inverse Variation y varies inversely as x

4. KM & PP 4 Types of Variation y varies inversely as x y varies directly as x y = kx z varies jointly as x and y z = kxy k is the constant of proportionality or the constant of variation combined variation

5. KM & PP 5 Variation Basics Step 1: Write the equation. Step 2: Solve for k the constant of variation. Write the equation with the value of k. Step 3: Find the value of variable of interest. 6.1 S

6. KM & PP 6 Give it a try? I varies directly as h. If I = 256 when h = 8, determine I when h = 36.

7. KM & PP 7 Give it a try? Step 1:Step 2:Step 3:

8. KM & PP 8 Give it a try? t is inversely proportional to r. If t=50 when r = 5, determine t when r = 25.

9. KM & PP 9 Give it a try? Step 1:Step 2:Step 3:

10. KM & PP 10 The distance a spring stretches is directly proportional to the weight attached to the spring. A 40 lb weight stretches a spring 5 inches. Find the distance that a 64 lb weight will stretch the spring.

11. KM & PP 11 Give it a try? Step 1:Step 2:Step 3:

12. KM & PP 12 If the voltage, V, in an electric circuit is held constant, the current, I, is inversely proportional to the resistance R. If the current is 40 amperes when the resistance is 100 ohms, find the current when the resistance is 25 ohms.

13. KM & PP 13 Give it a try? Step 1:Step 2:Step 3:

14. KM & PP 14 The number of cars manufactured on an assembly line varies jointly as the number of workers and the time they work. 200 workers can produce 60 cars in 2 hours. Determine how many cars 240 workers should be able to produce in 3 hours. kv = 3/20 108 cars

15. KM & PP 15 Give it a try? Step 1:Step 2:Step 3:

16. KM & PP 16 The cephalic index, C, varies directly as the skull width, w, and inversely as the length of the skull, n. The cephalic index is 70 for a width of 7 and a length of 10. Find the index for a skull with a width of 6 and a length of 8. 75

17. KM & PP 17 6.1 SKM & PP 17 That’s All for Now!