Warm Up – August 14, 2017 Solve for y. 3 + y = 2x 6x = 3y

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Warm Up – August 14, 2017 Solve for y. 3 + y = 2x 6x = 3y Write and equation that describes the relationship. 3. Solve for x. 4. 3 5 = 𝑥 15 5. 6 2 = 1.5 𝑥 X 1 2 3 4 Y 6 9 12

During: 2‐2 Direct Variation Learning Target: I can interpret direct variation equations. Key Terms: direct variation, constant of variation

Key Terms: direct variation – formula for the function is y = kx, where k cannot equal 0, x represents input values, and y represents outcome values. constant of variation – the ratio of all output‐input pairs equals the constant k.

“I do” Identifying Direct Variation From Tables X Y 1 2 3 6 4 8 X Y 1 4 2 8 3 11

“You do” a. b. X Y 3 -21 2 -14 1 -7 X Y 2 5 3 7 6 13

“I do” Identifying Direct Variation From Equations a. 3y = 7x b. 7y = 14x + 7

“You do” a. 5x + 3y = 0 b. y = 𝑥 9

“I do” Using Proportions to Solve a Direct Variation Suppose y varies directly with x, and y = 9 when x = -1.5. What is y when x = 21?

“You do” Suppose y varies directly with x, and y = 15 when x = 3. What is y when x = 13?

“I do” Graphing Direct Variation Equations a. y = ¾ x

“You do” y = -2x

Homework Pg. 71 # 8, 10, 14, 15, 17, 22, 27, 44