Math Problem Statement

answer this

For each scenario below, choose the graph that gives the best representation: (a) Christine is driving at a constant speed. She then slows down to pass an accident. After passing it, she goes back to her original speed and continues driving at that speed. (b) A bird of prey leaves the nest to go hunting. It flies for several miles away from the nest before stopping to eat. After eating, it continues flying away from the nest for several more miles, looking for more food.

Solution

For part (a), the correct graph should reflect Christine driving at a constant speed, slowing down when she passes the accident, and then accelerating back to her original speed. The third graph, which shows a decrease in speed followed by an increase back to the original speed, represents this scenario accurately.

For part (b), the bird flies away from the nest, stops to eat (which would be represented by a flat portion), and then flies further away. The second graph, which shows an initial increase in distance, a flat section, and then another increase, represents this situation correctly.

Do you need further clarification or more details? Here are some related questions to expand on the concepts:

  1. How would the graph change if Christine never slows down after the accident?
  2. Can you describe how a distance-time graph would differ if the bird returned to the nest after flying away?
  3. What happens to the slope of a speed-time graph when the acceleration is constant?
  4. How would you represent a scenario where Christine comes to a complete stop?
  5. If the bird flies back and forth repeatedly from the nest, how would the graph change?

Tip: In speed-time graphs, a horizontal line indicates constant speed, while a slope represents acceleration or deceleration.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Graph Interpretation
Speed-Time Graphs
Distance-Time Graphs

Formulas

-

Theorems

-

Suitable Grade Level

Grades 6-8