Model Direct Variation

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Presentation transcript:

Model Direct Variation Chapter 4

Identify the slope and y-intercept of the line 2x+4y=-16 Determine which lines are parallel: Line 1: (-4,-3) and (0,3) Line 2: (0,-1) and (3,3) Line 3: (2,-1) and (4,2)

y=5x is an example of direct variation Two variables x and y show direct variation when y=kx k ≠ 0 k is called the constant of variation y varies directly with x y=5x is an example of direct variation y=x+5 is not

State whether the equation represents direct variation State whether the equation represents direct variation. If so, identify the constant of variation 2x-3y=0 2x+y=0 -x+y=4 4x-5y=0 -x+y=1

Graphing y=(2/3)x y=-3x What do you notice about the origins of the graphs?

Writing direct variation equations Write the direct variation equation Find the value of y when x=30

Partner Practice Graph the direct variation equation y=2x A direct variation graph passes through the point (4,6). Write the direct variation equation and find the value of y when x=24.

Saltwater Aquariums The number s of tablespoons of sea salt needed in a saltwater fish tank varies directly with the number w of gallons of water in the tank. A pet shop owner recommends adding 100 tablespoons of sea salt to a 20 gallon tank. Write a direct variation equation that relates w and s. How many tablespoons of salt should be added to a 30 gallon saltwater fish tank?

Direct Variation Direct Variation Equation? What does the graph of a direct variation equation look like?