Page 264 - Math Smart - 7

Investigate!

The distance-time graph below shows Paul's journey from home to school.

Paul's journey to school

3.0 ' c
/
2.8
f
2.6
/
2.4
2.2
/
2.0
f
1.8 B
E /
1.6
/ c
1.4
/
1.2
/
1.0
0.8
/
0.6
/
0.7
.... /
0.6 —
0.4
I
> 1 10. -15- n 7S- io--4s-. -50-
Time (min)
a) Paul started his journey by walking. How far did he walk?
b) Paul stopped at a shop to buy a pen.
i) Which segment on the graph does this correspond to?
ii) How long was Paul stop at the shop?
c) Paul was late and started to run.
i) How long did he run?
ii) How far did Paul run?
d) How long did Paul's journey take altogether?
e) If Paul left home at 07:05, what time did Paul arrive at school?
f) What is the distance Paul has to travel to school?

Paul's classmate, Annabelle, takes a bus to school.
a) On the same axes above, plot a graph of Annabelle's journey
from home to school.
i) Annabelle walks 1 km in 15 minutes from her home to the bus
stop.
ii) Annabelle then waits 10 minutes for the bus.
iii) The bus travels 2 km in 15 minutes to get to Annabelle's school.
b) How far has Annabelle travelled in total?
c) How many minutes does Annabelle take to get from her home to
school?

2601 UNIT 11 Coordinate Geometry and Graphs