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IM Alg1.4.1 Lesson: Describing and Graphing Situations

Autor:GeoGebra Classroom Activities, IM Algebra 1, Geometry, Algebra 2

A customer at a bagel shop is buying 13 bagels. The shopkeeper says, “That would be $16.25.”

Jada, Priya, and Han, who are in the shop, all think it is a mistake.

  • Jada says to her friends, “Shouldn’t the total be $13.25?”
  • Priya says, “I think it should be $13.00.”
  • Han says, “No, I think it should be $11.25.”
Explain how the shopkeeper, Jada, Priya, and Han could all be right.

Your teacher will give you instructions for completing the table.

Three days in a row, a dog owner tied his dog’s 5-foot-long leash to a post outside a store while he ran into the store to get a drink. Each time, the owner returned within minutes.

The dog’s movement each day is described here.


  • Day 1: The dog walked around the entire time while waiting for its owner.
  • Day 2: The dog walked around for the first minute, and then laid down until its owner returned.
  • Day 3: The dog tried to follow its owner into the store but was stopped by the leash. Then, it started walking around the post in one direction. It kept walking until its leash was completely wound up around the post. The dog stayed there until its owner returned.
  • Each day, the dog was 1.5 feet away from the post when the owner left.
  • Each day, 60 seconds after the owner left, the dog was 4 feet from the post.
Your teacher will assign one of the days for you to analyze. Write the day in the space below.

Sketch a graph that could represent the dog’s distance from the post, in feet, as a function of time, in seconds, since the owner left.

From the graph, is it possible to tell how many times the dog changed directions while walking around? Explain your reasoning.

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