Question

qualitative graph practice
draw lines to match each story with the appropriate graph.
john ran from his house to the bus then stopped and waited. he realized that he missed the bus, so he walked home.
1
nicolas walked to the store at the end of his street, bought a newspaper, and then ran all the way back home.
2
mia went out for a walk with some friends. she suddenly realized she left her cell phone behind. she ran home to get it and then had to run to catch up with the others.
3
ava walked slowly along the road, stopped to look at her watch, realized she was late, and then started running.
4
jake skateboarded from his house, gradually building up speed. he slowed down to avoid some rough ground, but then sped up again.
5
for christopher’s workout, he decided to walk for a period of time, then jog for a period of time, and then run for a period of time
6
maria went to the grocery store. on her way home, she realized she forgot something so she went back to the store.
7
after her basketball game, ashley slowly walked all the way home.
8

Explanation:

Step 1: Analyze John's Story

John runs to the bus (distance increases), stops (distance constant), then walks home (distance decreases back to 0). Graph 7 has a rise, flat, then drop to 0. Match 1 - 7.

Step 2: Analyze Nicolas's Story

Walks to store (rise), stops (flat), runs back (steeper drop). Graph 6 has rise, flat, steeper drop. Match 2 - 6.

Step 3: Analyze Mia's Story

Walks (rise), runs home (drop to 0), then runs to catch up (rise again). Graph 1 has rise, drop, rise. Match 3 - 1.

Step 4: Analyze Ava's Story

Walks (slow rise), stops (flat), runs (steeper rise). Graph 4 has slow rise, flat, steeper rise. Match 4 - 4.

Step 5: Analyze Jake's Story

Speeds up (curved rise), slows (less steep), speeds (steeper). Graph 5 has curved rise, slow, steep. Match 5 - 5.

Step 6: Analyze Christopher's Story

Walk (slow), jog (medium), run (fast) – all rising, increasing slope. Graph 3 has increasing slope. Match 6 - 3.

Step 7: Analyze Maria's Story

Goes to store (rise), back (drop), back to store (rise). Graph 7? Wait, no: Maria goes to store (rise), back (drop), then back to store (rise). Graph 7 has rise, drop, rise? Wait, earlier John was 7. Wait, Maria: home -> store (rise), store -> home (drop), home -> store (rise). So graph with rise, drop, rise. Wait, John: house -> bus (rise), wait (flat), house (drop). So John's graph is rise, flat, drop? No, earlier mistake. Let's recheck:

John: distance from home: starts at 0, runs to bus (distance increases), stops (distance constant), then walks home (distance decreases to 0). So graph: rise, flat, drop to 0. Which graph? Graph 6? No, graph 6 is rise, flat, steep drop. Wait, graph 2: rise, flat, drop. Wait, Nicolas: walks to store (rise), stops (flat), runs back (steeper drop). So Nicolas: rise, flat, steep drop (graph 6). John: rise, flat, drop (graph 2? No, graph 2 is rise, flat, drop. Wait, original graphs:

Graph 1: up, down, up

Graph 2: up, flat, down

Graph 3: up, up (increasing slope)

Graph 4: up, flat, steeper up

Graph 5: curved up, flat, steeper up

Graph 6: up, flat, steep down

Graph 7: up, down, up (wait, no, graph 7: up, down, up? Wait, user's graph labels: 1-8. Let's list each graph's shape:

1: peak, dip, peak (up, down, up)

2: trapezoid (up, flat, down)

3: increasing slope (up, steeper up)

4: up, flat, steeper up

5: curved up, slight flat, steeper up

6: up, flat, steep down

7: up, down, up (like graph 1? No, graph 7: up, down, up)

8: down (from top to bottom)

Wait, Ashley: walks home slowly – distance from home decreases from max to 0, constant speed (straight line down). Graph 8: down. So Ashley (8) -> graph 8.

Maria: home -> store (up), store -> home (down), home -> store (up). So up, down, up: graph 1. So Maria (7) -> graph 1.

Christopher: walk (slow), jog (medium), run (fast) – distance increases, each segment steeper. So graph 3 (increasing slope). So Christopher (6) -> graph 3.

Jake: speed up (curved), slow (less curved), speed (curved). Graph 5 (curved, then less, then more). Jake (5) -> graph 5.

Ava: walk (slow up), stop (flat), run (steep up). Graph 4 (slow up, flat, steep up). Ava (4) -> graph 4.

Mia: walk (up), run home (down to 0), run to catch up (up). So up, down, up: graph 1. Mia (3) -> graph 1.

Nicolas: walk (up), stop (flat), run (steep down). Graph 6 (up, flat, steep down). Nicolas (2) -> graph 6.

John: walk (up), stop (flat), walk home (down to 0). Graph 2 (up, flat, down). John (1) -> graph 2.

Ashley: walks home – distance from home decreases from max to 0 (straight line down). Graph 8. Ashley (8) -> graph 8.

Maria: home -> store (up), store -> home (down), home -> store (up). Graph 7? Wait, graph 7's shape: up, down, up. So Maria (7) -> graph 7? Wait, earlier mistake: graph 1 is up, down, up; graph 7 is same? No, user's graph labels: 1-8. Let's correct:

1. John: 1 -> graph 2 (up, flat, down)

2. Nicolas: 2 -> graph 6 (up, flat, steep down)

3. Mia: 3 -> graph 1 (up, down, up)

4. Ava: 4 -> graph 4 (up, flat, steeper up)

5. Jake: 5 -> graph 5 (curved up, slow, steep)

6. Christopher: 6 -> graph 3 (increasing slope)

7. Maria: 7 -> graph 7 (up, down, up) – wait, graph 7's shape: up, down, up. So Maria goes home -> store (up), store -> home (down), home -> store (up): up, down, up. So graph 7.

8. Ashley: 8 -> graph 8 (down)

Final matches:

1. John -> Graph 2

2. Nicolas -> Graph 6

3. Mia -> Graph 1

4. Ava -> Graph 4

5. Jake -> Graph 5

6. Christopher -> Graph 3

7. Maria -> Graph 7

8. Ashley -> Graph 8

Answer:

1. John — Graph 2
2. Nicolas — Graph 6
3. Mia — Graph 1
4. Ava — Graph 4
5. Jake — Graph 5
6. Christopher — Graph 3
7. Maria — Graph 7
8. Ashley — Graph 8