What do you notice? What do you wonder?
Refer to the tick-mark diagrams and graph in the earlier activity when needed.
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.
Lines
How long does it take the ladybug to travel 12 cm? The ant?
Scale the vertical and horizontal axes by labeling each grid line with a number. You will need to use the time and distance information shown in the tick-mark diagrams.
Imagine a bug that is moving twice as fast as the ladybug. On each tick-mark diagram, mark the position of this bug.
Plot this bug’s positions on the coordinate axes with lines
Write an equation for each of the three lines.
Mark and label the point on line
How fast is each bug traveling?
Will there ever be a time when the ant is twice as far away from the start as the ladybug? Explain your reasoning.