Amudha walks at a speed of 3 kilometers per hour. Draw a linear graph to show the relationship between the time and distance.
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Solution
Amudha walks at a speed of 3 kilometers per hour. It means she walks 3 Km in 1 hour, 6 Km in 2 hours, 9 km in 3 hours and so on. Thus we have the table
Time in hours (x)
0
1
2
3
4
5
Distance in km (y)
0
3
6
9
12
15
Points: (0 , 0), (1 , 3), (2 , 6), (3 , 9), (4 , 12) and (5 , 15). Plot the points (0 , 0), (1, 3), (2, 6), (3, 9), (4, 12) and (5, 15). Join all these points. We get a straight line . Hence, it is a linear graph. Relationship between x and y: We know that, Distance=Speed×Time From the above table, 0=3×0 3=3×1 6=3×2 9=3×3 12=3×4 15=3×5 →y=3x [Here, y = Distance, x = Time in hour and 3 is the speed] The linear equation of this problem is y = 3.