Download presentation

1
**Lesson 12.1 Inverse Variation pg. 642**

Objectives: To graph inverse variation. To solve problems involving inverse variation.

2
Inverse Variation y varies inversely as x if there is some nonzero constant k such that xy = k

3
**Inverse Variation Problems**

To solve some inverse variation problems, there are two steps: (1) First find the value of k (2) Use the value of k to find a specific value of x or y

4
**Graphing Inverse Variation**

To graph inverse variation choose values for x and y whose product is k

5
**Ex. 1: Graphing inverse variation**

Graph an inverse variation in which y varies inversely as x, and y=1 when x=4

6
**Graph an inverse variation in which y varies inversely as x, and y=-6 when x=-2**

10 -10

7
**Product Rule for inverse variation**

The product rule x1 y1 = x2y2 can be used to solve inverse variation problems.

8
**1. If y varies inversely as x and y = 5 when x =12, find x when y = 15**

Ex. 2: Write and inverse variation equation that relates x and y. Assume that y varies inversely as x. Then solve. 1. If y varies inversely as x and y = 5 when x =12, find x when y = 15

9
**2. If y varies inversely as x and y = 8 when x =6, find y when x = 4**

Similar presentations

OK

EQ: How can you recognize a direct variation equation? EQ: How can you recognize an inverse variation equation? a direct variation graph? an inverse variation.

EQ: How can you recognize a direct variation equation? EQ: How can you recognize an inverse variation equation? a direct variation graph? an inverse variation.

© 2018 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google