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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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:

pi x^2

step-by-step explanation:

pi times x squared

so the possibilities of the measurement of the side of the triangle are either it is longest side or not the longest side

when it is the longest side

s < 25 + 35s < 60

if it is not the longest side

35 < 25 + s10 < sso 10 < s < 60so the perimeter70 < p < 130