Applications of Linear graphs

Applications of Linear graphs
Credit: Pixabay.com

A linear graph shows the variation between two quantities. One quantity is plotted on x-axis & other quantity is plotted on y-axis.

↪ The quantity whose value depend on the other is called dependent variable.

↪ The quantity which affects the value of dependent variable is called Independent variable (or sometimes control variable).

↪ Generally, independent quantity is plotted on x-axis and dependent quantity is plotted on y-axis.

↪ When two quantities are in direct variation, the graph will always be linear.

Quantity and Cost

Cost of any item depends on its quantity. Therefore between quantity & cost, quantity is independent variable whereas cost is dependent variable.

Example: Draw graph for the following data.

Linear Graphs

↪ Scale : 2 unit = 1 on horizontal axis; 2 unit = ₹ 5 on vertical axis.

↪ Mark Numbers along horizontal axis.

↪ Mark Cost along vertical axis.

↪ Plot the points : (1,5), (2, 10), (3, 15), (4,20), (5,25).

↪ Join the points. We get a graph that is a line.

Graph of Quantity Vs Cost
Graph of Quantity Vs Cost

Principal and Simple Interest (SI)

SI depends on the Principal borrowed. More the Principal more will be the SI at constant rate of interest. Therefore between Principal & SI, Principal is independent variable whereas SI is dependent variable.

Example: Draw graph for the following data.

Linear Graphs

↪Scale : 2 unit = ₹ 1000 on horizontal axis; 2 unit = ₹ 80 on vertical axis.

↪ Mark Deposits along horizontal axis.

↪ Mark Simple Interest along vertical axis.

↪ Plot the points : (1000,80), (2000, 160), (3000, 240), (4000,320) etc.

↪ Join the points. We get a linear graph.

Graph of Principal Vs Simple Interest
Graph of Principal Vs Simple Interest

Time and Distance

At constant speed, distance traveled is directly proportional to the time taken. Therefore between time & distance, time is independent variable whereas distance is dependent variable.

Example: Draw graph for the following data.

↪ Scale: Horizontal: 2 units = 1 hour, Vertical: 2 unit = 40 km

↪ Mark time on horizontal axis.

↪ Mark distance on vertical axis.

↪ Plot the points: (6, 40), (7, 80), (8, 120), (9, 160), (10,200).

↪ Join the points. We get a linear graph.

Distance-Time Graph
Distance-Time Graph

Coordinate Geometry ⏩

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