Let’s study some graphs.
The following diagram shows how to graph a proportional relationship from a story.
What do you notice? What do you wonder?
A ladybug and ant move at constant speeds. The diagrams with tick marks show their positions at different times. Each tick mark represents 1 centimeter.
The ladybug is traveling at 2 cm/s.
The ant is traveling at 3 cm/s.
At anytime t, the ladybug would be 2t cm from the start and the ant would be 3t from the start.
It is not possible to find a time t such that
2 · 2t = 3t
Refer to the tick-mark diagrams and graph in the earlier activity when needed.
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