Linking data to straight-line graphs

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Presentation transcript:

Linking data to straight-line graphs Linear relations Linking data to straight-line graphs

values and graphs When we have a table of values, we can create a graph to represent the data Remember our baskets of kiwis? Here is the table of values we had: basket # (b) Kiwis (k) 1 5 2 10 3 15 4 20

Graphing the relation Our equation was k = 5b Finally, we graph the equation: Voila: it’s a straight line! Notice how the kiwis are on the y axis – it’s the dependent variable!

Values and graphs Remember the arc design of beads? Here’s the table of values we created: row number (n) number of beads (b) 1 7 2 12 3 17 4 22

Graphing the relation Finally, we graph the equation Our equation was b = 5n + 2 Finally, we graph the equation Notice how the beads are on the y axis – it’s the dependent variable!

Values and graphs Remember the super tanker that had to make an emergency stop? Here is the table of values that we created: time (min) Speed (km/h) 30 3 24 6 18 9 12 15

Graphing the relation The equation we created was -2t + 30 Here is the graph that represents the equation: Notice how the speed is on the y axis – it’s the dependent variable!

Homework: Page