Page 266 - Math Smart - 7

d) Study the graph after you have drawn the straight-line graphs for the three trains
on the same grid.
i) Describe how the speed of a train affects its graph.
ii) Think about the graph of a train that is not moving. How will its distance-time
graph look like?

@ Joseph travelled from his home
Joseph's journey
to his friend's house 15 km away.
He stayed at his friend's house
15 / \
for some time and then returned > s
home. ■D / \
a) At what time did Joseph f 10 / \
/ \
/
leave his home? S.
s
b) How far from his home was
/ \
Joseph at 14:30? f \
/ S
c) How long did Joseph spend / s
at his friend's house? / \
14 00J,..l 4-: n 1^■46 5-nn 1 i-7 0 15 4r 1 in
d) How far did Joseph
Time (h)
travel altogether?
Beth goes to a shopping centre on a Saturday morning. She leaves her home at 10 o'clock.
Draw the axes shown on a piece of graph paper,
a) Beth starts cycling at a speed of 20 km/h.
i) How far does she cycle in
Beth's journey
30 min?
ii) Plot a point to show this
on your graph.
20
iii) Draw a line for this part of "D
0)
Beth's Journey on your graph.

b) Beth makes a stop at the library 10
while on the way to the shopping
centre. She spends 20 min at
the library.
Plot a point and draw a line
10 00 10 30 n 00 11 :3n
segment to represent this on
Time (h)
your graph.

c) Beth meets her friend in the library.
They walk together for 2 km for 20 min with Beth pushing her bike.
Plot a point to show this on your graph. Then draw a line segment to represent Beth's walk
on your graph.

d) Beth then cycles 8 km to the shopping centre at the same starting speed.
Plot a point to show this, and then draw a line segment to represent Beth's ride to the shopping
centre on your graph.
e) How far does Beth travel in total?

f) At what time does Beth arrive at the shopping centre?

Coordinate Geometry and Graphs