LINEAR GRAPH IN TWO VARIABLES, USING GRAPH TO SOLVE REAL LIFE SITUATION
CLASS: JSS 2
TERM: 3rd TERM
TOPIC: LINEAR GRAPH IN TWO VARIABLES, USING GRAPH TO SOLVE REAL LIFE SITUATION
Distance – Time graph
Velocity Time graph
Re-representation of real-life situation of graphs
Distance – Time Graph
Graphs are used to show the relationship between two quantities. A continuous graph is in the form of a continuous line and shows the relationship between the two quantities.
A distance-time graph shows the distance travelled against the time taken and is used to calculate speeds.
A distance-time graph is also called a
Travel graph. In travel graph, the time is usually plotted x – axis and the distance on y-axis.
The graph below shows a man’s journey from home to another town. Use the graph to find:
Solution with explanation
The horizontal (or x-axis) shows the time in hours.
2 units on the x-axis = 1 hour
So 1 unit = 12 hr or 30 mins
The vertical axis (or y-axis) shows the distance in km.
2 units on the y-axis = 50km,
We can use a travel graph to find a distance and time at any point on the graph.
In 1 hr the man travelled 175km312hr= 175 km72 h
= 175 × 272 × 2 = 3507
Essential Mathematics Chapter 16, pgs 184-187 AJS Oluwasanmi
Exercise 16.6 Nos 1 & 3 page 201
GRAPH OF REAL LIFE SITUATION
In choosing a scale, choose a big scale while drawing graphs. Refer to the given data to find the upper and lower limit of the scale. Always show the origin if possible on 2cm graph paper use scale of 2cm to 1, 2, 5, 10, 20, 50, 100
New general mathematics, UBE Edition, chapter 122. Pages 105 – 107
Essential mathematics by A J S Oluwasanmi, chapter 18, pgs 187 – 191
The graph below shows the cost of cloth (in naira) and length of cloth (in metre). Use the graph to answer questions 2 to 5
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