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Interpreting Graphs to Answer Questions

4.2.1 Interpreting Graphs to Answer Questions

4.2.1 • Interpreting Graphs to Answer Questions

Warm Up

Here are the graphs of some situations you saw before. Each graph represents the distance of a dog from a post as a function of time since the dog owner left to purchase something from a store. Distance is measured in feet, and time is measured in seconds. Use the given graphs to answer questions about each of the three days.

Day 1

A line graph showing distance from a post in feet versus time in seconds. The curve rises and dips with a peak around 50 seconds, dips, then rises again. Two points are marked on the curve at about 0 and 60 seconds.
1.

How far away was the dog from the post 60 seconds after the owner left?

Compare your answer:

4 feet

2.

How far away was the dog from the post when the owner left?

Compare your answer:

1.5 feet

3.

How far away was the dog from the post 160 seconds after the owner left?

Compare your answer:

about 3.7 feet

4.

How many seconds passed before the dog reached the farthest point it could reach from the post?

Compare your answer:

about 50 seconds

Day 2

A line graph showing distance from post in feet versus time in seconds. The line rises, dips, peaks, and then levels off at 4 feet from 60 seconds onward. Two points are marked at roughly (0, 1.5) and (60, 4).
5.

Consider the statement, “The dog was 2 feet away from the post after 80 seconds.” Do you agree with the statement?

Compare your answer:

No, this statement is incorrect. After 80 seconds, the dog is 4 feet away from the post.

6.

How far away was the dog from the post when the owner left?

Compare your answer:

1.5 feet

7.

The owner returned 160 seconds after he left. How far away was the dog from the post at that time?

Compare your answer:

4 feet

8.

How many seconds passed before the dog reached the farthest point it could reach from the post?

Compare your answer:

about 34 seconds

Day 3

Line graph showing distance from a post in feet over time in seconds. The curve starts at 1.5 feet, peaks near 5 feet, then declines to about .5 feet. Two black dots mark data points on the curve.
9.

How far away was the dog from the post 60 seconds after the owner left?

Compare your answer:

4 feet

10.

How far away was the dog from the post when the owner left?

Compare your answer:

1.5 feet

11.

The owner returned 160 seconds after he left. How far away was the dog from the post at that time?

Compare your answer:

0.5 foot

12.

How many seconds passed before the dog reached the farthest point it could reach from the post?

Compare your answer:

about 3 seconds

13.

Consider the statement, “The dog was 2 feet away from the post after 80 seconds.” Do you agree with the statement?

Compare your answer:

The statment is true.