Question

Arthur sits in the park reading a newspaper, then starts walking home at a constant pace. He stops for bagels, then walks the rest of the way home.
Use the graph to answer questions about this scenario.

1. What does the x-axis represent in this situation?


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2. What does the y-axis represent?


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3. During which parts of the graph does Arthur's distance from home decrease?


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4. When is Arthur waiting for bagels? Explain how you know.


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5. If Arthur's pace had not been constant after leaving the bagel shop, which part of the graph would change? Explain how that part of the graph would change.


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6. If Arthur had spent less time reading his newspaper, which part of the graph would change? How would that part change?


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Answer 1

Answer:

1. The x-axis represents the time duration Arthur spends on the different activities

2. The y-axis represents Arthur's distance from a reference location (home)

3.  During parts 2 and 4 Arthur's distance from home decreases

4. Arthur is waiting for bagels in part 3

5. i) The part of the graph that would change if Arthur's pace had not been constant after leaving the bagel shop is part 4

ii) Where by the Arthur's pace is not constant in part 4, there would be more than one different slopes along part 4 and part 4 will not be straight

6) i) If Arthur had spent less time reading his newspaper, the part that would change is part 1

ii) The horizontal length of each part is related directly to the duration of time spent in that part

For a reduction of time in part 1, the length of part 1 will be reduced proportionately to allow for the reduction of time spent in the part

Step-by-step explanation:

Answer 2

Answer:

1. What does the x-axis represent in this situation?

The x-axis represents time.

2. What does the y-axis represent?

The y-axis represents distance.

3. During which parts of the graph does Arthur's distance from home decrease?

Sections 2 and 4.

4. When is Arthur waiting for bagels? Explain how you know.

Section 3. The flat areas represent times when Arthur is not moving. We know that the first flat area shows Arthur reading his newspaper, and the third is when he reaches home; so the second flat area represents the time in which Arthur is waiting for bagels.

5. If Arthur's pace had not been constant after leaving the bagel shop, which part of the graph

would change? Explain how that part of the graph would change.

The part of the graph that would change is part 4. If his pace was not constant, section 4 would not be uniform, and would have many abnormalities. Essentially, Arthur would be randomly speeding up and slowing down.

6. If Arthur had spent less time reading his newspaper, which part of the graph would change? How would that part change?

If Arthur had spent less time reading his newspaper, the whole graph would change. Section one would be shorter, and the entire line would also be shorter. The distance on the graph from the beginning of section 1 to the end of section 5 would be reduced.