Draw a graph for the following table of values, with suitable scales on the axes. Interest on deposits for a year: Deposits (in ₹ ) 5000 10000 15000 20000 25000 Simple Interest (in ₹ ) 325 650 975 1300 1625 Does the graph pass through the origin?

Given table is, Deposits (in ₹ ) 5000 10000 15000 20000 25000 Simple Interest (in ₹ ) 325 650 975 1300 1625 Let us draw the graph by taking Deposit ₹ on x -axis and Simple interest ₹ on y -axis. Now, for a suitable scale, We take x -axis as 1 unit = ₹ 5000 and y -axis as 1 u n i t = ₹ 325 From the given data, the graph follows as below: We can observe that the graph passes through the origin ( 0 , 0 ) . Hence, yes the graph pass through the origin.

Draw the graph for the following. Side of square (in cm) 2 . 5 3 3 . 5 4 4 . 5 Perimeter (in cm) 10 12 14 16 18

The given table is Side of square (in cm) 2 . 5 3 3 . 5 4 4 . 5 Perimeter (in cm) 10 12 14 16 18 We need to draw the graph for the given data. We represent the side of the square (in cm) along the horizontal (x-axis) and the perimeter (in cm) along the vertical (y-axis). We choose the scale as follows: x - axis : 2 units = 1 cm y - axis : 1 unit = 1 cm Now, we plot the points 10 , 2 . 5 , 12 , 3 , 14 , 3 . 5 , 16 , 4 and 18 , 4 . 5 and draw lines joining every two consecutive points. Hence, the above obtained is the linear graph for the given data.

Draw the graph for the following. Side of square (in cm ) 0 2 5 6 7 8 Area (in cm 2 ) 0 4 25 36 49 64

The given table is Side of square (in cm ) 0 2 5 6 7 8 Area (in cm 2 ) 0 4 25 36 49 64 We need to draw the graph for the given data. We represent the side of the square (in cm) along the horizontal (x-axis) and the area (in cm 2 ) along the vertical (y-axis). We choose the scale as follows: x - axis : 2 unit = 1 cm y - axis : 1 unit = 5 cm Now, we plot the points 0 , 0 , 2 , 4 , 5 , 25 , 6 , 36 , 7 , 49 and 8 , 64 and draw lines joining every two consecutive points. Hence, the above obtained is not the linear graph for the given data.