1. Math 10 Lesson #2 Inverse Variation Mrs. Goodman

2. Inverse Variation y = k/x k is the constant y is inversely proportional to x

3. Inverse Variation What would this relationship look like if we solved the equation for k?

4. Graph of Inverse Variation

5. Inverse Variation How could we describe the inverse variation relationship in our own words?

6. Inverse Variation As one variable INCREASES, the other variable…..

7. Example The amount of time it takes for an ice cube to melt varies inversely with the temperature

8. Example a)How could we write an equation to represent this relationship? b)If it takes 4 hours to melt one block of ice at 52 degrees, find the value of k.

9. Direct vs. Inverse X510204080160320 Y48163264128156 X255060100150 Y843.3321.33

10. Direct vs. Inverse Which table of values represents direct variation and which table of values represents inverse variation?

11. Ideas Can you think of other real life examples of inverse variation?

12. Reflection Questions y = k/x 1)How will the value of y change as x increases? 2)If the value of x doubles, how will the value of y change?

13. That’s all for today! Thanks for working hard! See you next time!