2.3: Direct Variation Objective: Determine if a function is a direct variation function.

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2.3: Direct Variation Objective: Determine if a function is a direct variation function

Direct Variation k is the constant of variation Ex1) Determine the direct variation equation of the given graph. Characteristics of Direct Variation: 2

Using a Table Does y vary directly with x in the following examples? (Check the ratio y/x) Ex2) Ex3) x y -1 3 2 -6 5 15 x y 7 14 9 18 -4 -8 3

Using Equations Does y vary directly with x in the following equations? (Can the equation be written in the form y = kx ?) 4

Perimeter Ex6) The perimeter of a square varies directly as the length of a side of the square. a) Write a direct variation equation. b) Find the constant of variation. c) Find how long a side of the square must be for the perimeter to be 64 cm. 5

Using Proportions Ex7) Suppose y varies directly with x, and y = 15 when x = 27. Find y when x = 18. 6

Using Proportions Ex8) Suppose y varies directly with x. If y = 4 when x = 3, then find y when x = 6 If y = 10 when x = -3, then find x when y = 2 7

Due TUESDAY!! Homework #12: Pg 71 #3-5 2.3: Direct Variation Homework #12: Pg 71 #3-5 Pg 74 # 1-19 odd, 23-27, 33, 34, 46 Due TUESDAY!!