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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.

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Agenda Lesson 4-6 – Inverse Variation - Day 1

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  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

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