1 / 14

Agenda Lesson 4-6 – Inverse Variation - Day 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. Warm Up.

margot
Télécharger la présentation

Agenda Lesson 4-6 – Inverse Variation - Day 1

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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. 1 EXAMPLE 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 xy = k 7(5) = k Solve for k Substitute the answer for k in xy = k

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

  6. 2 EXAMPLE 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 x1y1 = x2y2 3(8) = 2(y2) Solve for y2

  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

  8. 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

  9. Warm Up Find the missing coordinate. Hint: x1y1 = x2y2 • (5, 2) and (10, y) • (x, 3) and (2, 6) • 3. (4, 8) and (x, 16)

  10. 4 EXAMPLE Determining Direct or Inverse Variations For the table use the ratio y/x to tell whether y varies directly with x. Remember k = y/x

  11. You try two: For the table below, determine whether y varies directly with x. If it does, write the equation for the direct variation.

  12. 5 EXAMPLE Cost markers Is a constant of 70¢ so this is a direct variation Application 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 Total cost is a constant $40.00 so this is an inverse variation b. You buy several markers for 70¢ each.

  13. 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

More Related