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HW – pgs. 109-110 (2-28 even, 32, 33, 35, 39) www.westex.org HS, Teacher Website 10-2-12 Warm up—ALG 2 CPA 1. Write the equation of a line that is parallel to 3x + 2y = -7 and goes through (4,5)? (Hint: Find the slope first. Is it just 3? NO!!! Then plug into y – y1 = m(x – x1).) GOAL: I will be able to: 1. write and graph direct variation equations. HW – pgs. 109-110 (2-28 even, 32, 33, 35, 39) www.westex.org HS, Teacher Website Name ______________________ ALG 2 CPA 2.5 Model Direct Variation Date _______ GOAL: I will be able to: 1. Write and graph direct variation equations. Equation The equation _______________ represents __________ ______________ between x and y. y is said to ________ ____________ with x. a cannot be zero and is called the ____________ ____ _______________. Graph The graph of a direct variation equation y = ax is a _______ with slope ___ and y-intercept ___. All direction variation graphs go through the __________. Example 1—Write and Graph a Direct Variation Equation Write and graph a direct variation equation that has (-3, 6) as a solution. y x YOU TRY: Write and graph a direct variation equation that has (6, -2) as a solution. y x Example 2— Write and Apply a Model for Direct Variation YOU TRY: The variables x and y vary directly. The variables x and y vary directly. Write an equation that relates x and y. Write an equation that relates x & y. Then find y when x = 12. Then find y when x = 5. x = -4.8, y = -1.2 x = -8, y = 28 Example 3—Use Ratios to Identify Direct Variation Tell whether the data in the table show direct variation. If so, write an equation relating x & y. X -5 -4 -3 -2 -1 Y 20 16 12 8 4 YOU TRY: Tell whether the data in the table show direct variation. If so, write an equation relating x & y. X -8 -4 4 8 12 Y 8 4 -4 -8 -12 Example 4—Write and Apply a Model for Direct Variation-Word Problem The depth, d, a diver is below the surface of the water varies directly with the time, t, it takes to ascend to the surface. From a depth of 45 feet it takes a minimum of 0.75 minute for a safe ascent. a. Find the constant of variation. b. Write the direct variation equation that models the depth a person can dive based on the time it takes to ascend to the surface. c. What is the minimum time a diver should take to ascend from a depth of 540 feet? EXIT TICKET Name _______________________ 10-2-12 Explain why the data in the table show direct variation. Write the direct variation equation. X 32 16 -16 -32 -48 Y -8 -4 4 8 12 EXIT TICKET Name _______________________ 10-2-12 Explain why the data in the table show direct variation. Write the direct variation equation. X 32 16 -16 -32 -48 Y -8 -4 4 8 12 EXIT TICKET Name _______________________ 10-2-12 Explain why the data in the table show direct variation. Write the direct variation equation. X 32 16 -16 -32 -48 Y -8 -4 4 8 12 EXIT TICKET Name _______________________ 10-2-12 Explain why the data in the table show direct variation. Write the direct variation equation. X 32 16 -16 -32 -48 Y -8 -4 4 8 12 EXIT TICKET Name _______________________ 10-2-12 Explain why the data in the table show direct variation. Write the direct variation equation. X 32 16 -16 -32 -48 Y -8 -4 4 8 12