Direct Variation Tables and Graphs. 1. Cody rode his skateboard at a constant speed and then slowed down as he approached school. The story is shown on.

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Presentation transcript:

Direct Variation Tables and Graphs

1. Cody rode his skateboard at a constant speed and then slowed down as he approached school. The story is shown on the graph. a)How fast did Cody ride his skateboard when he rode at a constant speed? b)How long did he ride at a constant speed? c)How far did he ride at his constant speed? d)What does the point (0.75, 0) mean? Find the unit rate:.

 Direct Variation is: A straight line Goes thru (0,0) the origin y = the same # times x y = 2x y = 3x y = ½ x

A table shows direct variation if: is the same for every ordered pair and the table contains the point (0, 0)

Determine whether or not the table models direct variation.  (0, 0) is a point in the table.  For other points calculate.  The ratio is for all points.  Yes, the table models direct variation. xyy/xy/x

Determine whether or not the table models direct variation.  (0, 0) is a point in the table.  For other points calculate.  The ratio is not the same for each ordered pair.  No, this table does not model direct variation. xyy/x

A graph shows direct variation if it is a straight line that goes through the origin.

Determine if each graph models Direct Variation. Explain why or why not.  Graph A: Yes, the graph is a straight line through (0, 0).  Graph B: No, the graph does not go through (0, 0).  Graph C: No, the graph is not a straight line.

1. Determine whether or not the table models direct variation. 2. What are the two things needed on any direct variation graph? 3. Draw a direct variation graph. xy

Is it more challenging for you to identify direct variation in a table or on a graph? Why?

Target: Recognize direct variation in tables and graphs.