Question: 14 Amy walked from her home to the skate park.
The travel graph of Amy’s walk to the skate park is shown below.
Distance
from home
in km
Time
On the way to the skate park Amy stopped at her friend’s house.
(a) How far is it from her friend’s house to the skate park?
............... km
(1)
Amy stayed at the skate park for 2 hours.
Then she walked home at a steady speed.
She took 1 hour 30 minutes to walk home.
Graph: travel graph with distance from home (km) on the vertical axis and time on the horizontal axis; one line rises from about 1:30pm at 0 km to 2pm at 3 km, then rises to 3pm at 5 km, then stays roughly flat at 5 km from 3pm to 5pm, then decreases to 0 km by about 6:30pm. position_hint=center
1. **Problem Statement:** We need to find the distance from Amy's friend's house to the skate park.
2. **Understanding the graph:** The graph shows distance from home (vertical axis) against time (horizontal axis).
3. From the graph description:
- Amy starts at home at 1:30 pm (0 km).
- She reaches her friend's house at 2:00 pm (3 km).
- She reaches the skate park at 3:00 pm (5 km).
4. To find the distance from her friend's house to the skate park, subtract the distance at the friend's house from the distance at the skate park:
$$\text{Distance from friend's house to skate park} = 5\text{ km} - 3\text{ km} = 2\text{ km}$$
5. **Answer:** The distance from Amy's friend's house to the skate park is **2 km**.
6. Additional info (not asked but given):
- Amy stayed at the skate park for 2 hours (from 3 pm to 5 pm).
- She walked home in 1 hour 30 minutes (from 5 pm to 6:30 pm) at a steady speed.
This confirms the graph's timeline but is not needed to answer part (a).