Section 4.6 Direct Variation Direct Variation

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Presentation transcript:

Section 4.6 Direct Variation Direct Variation Goal: Write & graph equations that show direct variation.

Direct Variation

k is called the variation constant. MUST PASS THROUGH ORIGIN Direct Variation- x and y are said to vary directly if they have a relationship of y = kx where k ≠ 0. k is called the variation constant. MUST PASS THROUGH ORIGIN If x varies directly with y. Write an equation that relates the variables if x = 4 and y = 16. Then find y when x = 15. y = kx 16 = k(4) k = 4 y = 4x y = 4(15) = 60

Write a direct variation equation. 3.5 pounds of apples cost $4.20. Write a direct variation equation. C = kp 4.20 = k(3.5) 1.20 = k Cost = 1.20 (# of pounds) C p p C = 1.2p C 3.5 C = 1.2(3.5) 4.2 (3.5, 4.2) 1 C = 1.2(1) 1.2 (1, 1.2) 2 C = 1.2(2) 2.4 (2, 2.4) 0 C = 1.2(0) 0 (0, 0)

pounds of tomatoes Cost 2 lbs. $1.50 3 lbs. $2.25 4.5 lbs. $3.37 Is there a relationship? Vertical Axis Linear Cost in $ # of pounds Horizontal Axis

Homework Assignment #3 4.6 Practice A Sheet