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IM 8.4.11 Lesson: On Both of the Lines

What do you notice? What do you wonder?

A different ant and ladybug are a certain distance apart, and they start walking toward each other. The graph shows the ladybug’s distance from its starting point over time and the point (2.5, 10) indicates when the ant and ladybug pass each other.

The ant is walking 2 centimeters per second. Write an equation representing the relationship between the ant’s distance from the ladybug’s starting point and the amount of time that has passed. If you haven't already, draw the graph of your equation on the same coordinate plane.

Elena and Jada were racing 100 meters on their bikes. Both racers started at the same time and rode at constant speed. Here is a table that gives information about Jada’s bike race:

Graph the relationship between distance and time for Jada’s bike race. Make sure to label and scale the axes appropriately.

Elena traveled the entire race at a steady 6 meters per second. On the same axes above, graph the relationship between distance and time for Elena’s bike race.

Who won the race?