Math Problem Statement

Consider the distance vs. time graph below where time is measured in minutes. Choose the best answers to fill in the description of the graph.

Solution

The image shows a distance vs. time graph where time is measured in minutes. Let's analyze the graph to help fill in the blanks for the description.

Observations from the Graph:

  1. Initial Movement: The graph shows an upward slope for the first 4 minutes, indicating that Jacoby is moving away from his starting point (increasing distance).
  2. Rest or Pause: After the initial 4 minutes, there is a flat line for the next 2 minutes, which means Jacoby stays at the same distance (no change in position).
  3. Return: After the pause, the graph shows another upward slope, but for a shorter period (3 minutes). This suggests Jacoby resumes moving away from the starting point.
  4. Return to Start: Next, there is a downward slope for the following 5 minutes, indicating that Jacoby is returning toward his starting point.
  5. Final Pause: Finally, there is another flat line, which shows Jacoby remains at the same distance (stops moving) for the last 4 minutes.

Filling in the Description:

Based on the graph analysis, here is the best way to fill in the description:

  • Jacoby left his house. For the first 4 minutes, he walked away from his house.
  • After that, he stopped for 2 minutes.
  • Then, he walked further away for 3 minutes.
  • Then he returned towards his house for 5 minutes.
  • Finally, he stopped for the last 4 minutes.

Would you like any further details or explanations about the graph?

Related Questions:

  1. How do you determine the speed of Jacoby during each segment?
  2. What does the slope of a distance vs. time graph represent?
  3. How can you calculate the total distance Jacoby traveled?
  4. What if Jacoby started at a different point on the graph?
  5. How would a negative slope on this graph be interpreted?

Tip:

Always remember that the steeper the slope on a distance vs. time graph, the faster the movement. A flat line indicates a stop or pause in movement.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Distance-Time Graphs
Slope Analysis

Formulas

Slope = (Change in Distance) / (Change in Time)

Theorems

Concept of Slope

Suitable Grade Level

Grades 6-8