Download presentation

Presentation is loading. Please wait.

Published byMisael Acklin Modified over 2 years ago

1
Agenda Lesson 4-6 – Inverse Variation - Day 1 Standards 15.0 Use algebraic techniques Standards 16.0 Give pertinent information about given functions Warm Up Review Notes - Inverse Variation Practice Review Homework – Page 212 problems 7 to 9 and 19 to 21 all

2
Warm Up Write a direct variation equation for each of the points below. Hint: y = kx 1. (4, 6) 2. (3, 9) 3. (1, 3)

3
Inverse Variation Inverse Variation: A function written in the form xy = k or y = k/x where k ≠ 0 k is called the constant of variation for inverse variation The variables x and y are said to vary inversely with each other

4
Writing a direct variation given a point a. Write an inverse variation equation that includes the point (5, 7). Or when x = 5 and y = 7 EXAMPLE 1 xy = k 7(5) = k Solve for k Substitute the answer for k in xy = k

5
Suppose y varies inversely with x and y = 9 when x = 2. Write an inverse variation equation. You try one:

6
Finding the Missing Coordinate The points (3, 8) and (2, y) are two points on the graph of an inverse variation. Find the missing value EXAMPLE 2 x 1 y 1 = x 2 y 2 3(8) = 2(y 2 ) Solve for y 2

7
Class work – Please do these now Page 212 Problems 1 to 6 and 10 to 18 all Homework – Please do at home tonight Page 212 Problems 7 to 9 and 19 to 21 all

9
Agenda Lesson 4-6 – Inverse Variation - Day 2 Standards 15.0 Use algebraic techniques Standards 16.0 Give pertinent information about given functions Warm Up Review Notes - Inverse Variation Practice Review Homework – Page 212 problems 30 to 35 all

10
Warm Up Find the missing coordinate. Hint: x 1 y 1 = x 2 y 2 1.(5, 2) and (10, y) 2. (x, 3) and (2, 6) 3. (4, 8) and (x, 16)

11
Determining Direct or Inverse Variations EXAMPLE 4 xy y/x xy 25 410 25 1230 xy y/x xy 520 10 205 254 For the table use the ratio y/x to tell whether y varies directly with x. Remember k = y/x

12
For the table below, determine whether y varies directly with x. If it does, write the equation for the direct variation. You try two: xy y/x xy 49 -2-18 -6-18/3 66 Xy y/x xy 48 -9-18 214 36

13
Application EXAMPLE 5 Explain whether each situation represents a direct variation or an inverse variation. a. The cost of $40.00 worth of gasoline is split among several people b. You buy several markers for 70¢ each. Cost markers Is a constant of 70¢ so this is a direct variation Total cost is a constant $40.00 so this is an inverse variation

14
Class work – Please do these now Page 212 Problems 24 to 38 all Homework – Please do at home tonight Page 213 Problems 41 to 43 and 45 all

Similar presentations

OK

What do you guess?. # of hours you studyGrade in Math test 0 hour55% 1 hour65% 2 hours75% 3 hours95%

What do you guess?. # of hours you studyGrade in Math test 0 hour55% 1 hour65% 2 hours75% 3 hours95%

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on power system earthing Ppt on retail management information system Ppt on healthy diet india Ppt on law of conservation of mass Well made play ppt on website Ppt on computer animation Ppt on social entrepreneurship Ppt on windows 8 operating system download Ppt on google chrome web browser Ppt on art of living