Question

This distance-time

graph shows the journey of
a motorcyclist starting at a shop.
a) How far was the shop from the
motorcyclist's home?
b) How far did the motorcyclist travel in the
first 4 minutes after leaving the shop?
Distance from home (m)
2400
2100
1800
1500-
1200
900
600
300-
0
2
Time (minutes)

Answer 1

a) 600 m

b) 1200 m

Explanation:

Given a distance-time graph of a motorcyclist's journey, you want to know the distance to the shop, and the distance traveled in the first 4 minutes.

Shop

The graph is the distance the motorcyclist is from home. Since the graph starts with the motorcyclist at the shop, and the starting value on the graph is distance from home = 600 m, we can conclude ...

the shop is 600 m from the motorcyclist's home.

Distance

The graph tells us the motorcyclist is 1800 m from home after traveling 4 minutes. Since the start of the journey was 600 m from home, the distance traveled in that 4 minutes is ...

1800 -600 = 1200 . . . . meters

The motorcyclist traveled 1200 meters in the first 4 minutes.

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Additional comment

It's all about reading a graph, including the axis labels. Understanding the problem statement is helpful, too.

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