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?

Write your answer in the space below.

2. What does the y-axis represent?

Write your answer in the space below.

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

Write your answer in the space below.

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

Write your answer in the space below.

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.

Write your answer in the space below.

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

Write your answer in the space below.

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:

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation: