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Solve and Graph: 2π₯+4 β€14 β3π₯ >15 2π₯+2 =20 5π₯ =β25
Wildcat Drills Solve and Graph: 2π₯+4 β€14 β3π₯ >15 2π₯+2 =20 5π₯ =β25
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2.1Relations and Functions 2.2 Direct Variation
Learning Target: I can graph relations. I can identify functions. I can write and interpret direct variation equations.
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Get Ready: Solve each equation for y. 1. 12y = 3x 2. -10y = 5x
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Example 1: Determine whether y varies directly with x.
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Example 2: Determine whether y varies directly with x
Example 2: Determine whether y varies directly with x. If so, find the constant of variation. Rule: If the equation is written as y=kx, then it does vary directly with x. Ex. π¦=3π₯ If the equation is written as y=kx+c, then it does not vary directly with x. Ex. π¦=2π₯+4
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Problems: π¦=8π₯ π¦= 1 2 π₯ π¦=3π₯+5 π¦=4π₯β1
*Remember these are yes or no answers.
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Example 3: Find the missing value.
1. If y = 9 when x = -15, what is y when x = 21? 2. If y = 15 when x = 3, what is x when y = 60?
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You do: Determine whether y varies directly with x. π¦=8π₯ π¦=β2π₯+4
Find the missing value. 3. If y = -21 when x = 3, what is x when y = -14?
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Assignment: 2.1 Page # 10, 13, 14, 18, 20, 24, 26, 30 2.2 Page # 8, 10, 14, 17, 25, 31, 36, 40, 44
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