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.
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Question 2
2.
Lines u and v also show the positions of the two bugs. Which line shows the ladybug’s movement? Which line shows the ant’s movement? Explain your reasoning.
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Are you ready for more?
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Refer to the tick-mark diagrams and graph in the earlier activity when needed.
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Question 8
8.
Imagine a bug that is moving twice as fast as the ladybug. On each tick-mark diagram, mark the position of this bug.
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Question 9
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Plot this bug’s positions on the coordinate axes with lines u and v, and connect them with a line.
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Question 10
10.
Write an equation for each of the three lines.
Question 3
3.
How long does it take the ladybug to travel 12 cm? The ant?
Question 4
4.
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.
Question 5
5.
Mark and label the point on line u and the point on line v that represent the time and position of each bug after traveling 1 cm.
Question 6
6.
How fast is each bug traveling?
Question 7
7.
Will there ever be a time when the ant is twice as far away from the start as the ladybug? Explain your reasoning.