Download presentation

Presentation is loading. Please wait.

Published byKatherine Keith Modified over 3 years ago

1
Insert Lesson Title Here Course 2 Identifying IV QUESTION What are the three ways to show inverse variation?

2
3 ways to show inverse variations: Insert Lesson Title Here Course 2 Identifying IV * by a table * by an equation * by a graph

3
Insert Lesson Title Here Course 2 Identifying IV QUESTION How can a table show inverse variation?

4
Table Insert Lesson Title Here Course 2 Identifying IV - either x increases and y decreases, or x decreases and y increases (vary inversely) - the product of each x and corresponding y is the same x30155 y126

5
Example of Indirect Variation: 1. As x increases (3, 12, 48), y decreases 8, 2, 1/3). 2. What is the constant of variation of the table above? 3 8 = k or k = 24 12 2 = k or k = 24 48 1/3 = k or k =24Note k stays constant. xy 38 481/3 122 Course 2 Identifying IV

6
Do these tables show IV? Insert Lesson Title Here Course 2 Identifying IV x1½¼ y4816 x-202 y10 x4.530.5 y2318 x-24-12-8 y-½-1 ½ YES NOYES

7
Insert Lesson Title Here Course 2 Identifying IV QUESTION How can an equation show inverse variation?

8
Equation Insert Lesson Title Here Course 2 Identifying IV - written in the form: y = k/x - other possible form: xy = k - k = 0 Example: y = 4/x

9
Do these equations show IV? Insert Lesson Title Here Course 2 Identifying IV y = 6x 2y = x y/8 = 1/x y = 3.4/x NO YES xy = -12 YES y = -4/x + 2 NO

10
Insert Lesson Title Here Course 2 Identifying IV QUESTION How can a graph show inverse variation?

11
Graph Insert Lesson Title Here Course 2 Identifying IV - curved line formed by connected points will NOT go through the origin - approaches the axes but never crosses them

12
Do these graphs show IV? Insert Lesson Title Here Course 2 Identifying IV NO YES NO YES

13
Insert Lesson Title Here Course 2 Identifying IV QUESTION What is the proportion for indirect or inverse variation?

14
Proportion: Insert Lesson Title Here Course 2 Identifying IV 1. Arrange one pair as the numerator of one ratio and the denominator of the other. 2. Arrange the other pair in the same manner.

15
Insert Lesson Title Here Course 2 Identifying IV VOCABULARYKIM inverse variation - one variable increases, other decreases - product of variables x and y is constant y = k/x

16
Is this an inverse variation? Course 2 Identifying IV

Similar presentations

OK

Lesson 88 Warm Up Pg. 585. Course 3 Lesson 88 Review of Proportional and Non- Proportional Relationships.

Lesson 88 Warm Up Pg. 585. Course 3 Lesson 88 Review of Proportional and Non- Proportional Relationships.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Seminar ppt on cam and follower Ppt on smoking and drinking Ppt on hydroelectric dams in india Ppt on manufacturing of soft drinks Pdf converter to ppt online Ppt on linear equations in two variables calculator Ppt on pin diode switches Ppt on kingdom monera organisms Ppt on biodegradable and non biodegradable ppt Ppt on object-oriented concepts interview questions