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प्रश्न
Sonal and Anmol made a sequence of tile designs from square white tiles surrounding one square purple tile. The purple tiles come in many sizes. Three of the designs are shown below.
(a) Copy and complete the table
| Side Length of Purple Titles | 1 | 2 | 3 | 4 | 5 | 10 | 100 |
| Number of white Tiles in Border |
 |
 |
 |
(b) Draw a graph using the first five pairs of numbers in your table.
(c) Do the points lie on a line?
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उत्तर
(a) In side length 1 the number of white tile surrounding purple tile is 4.
Similarly, in side length 2 the number of white tiles surrounding purple tile is 8.
Thus, we can arrange the following table which shows side length of purple corresponding to the number of white tiles in border.
| Side length of purple | 1 | 2 | 3 | 4 | 5 | 10 | 100 |
| Number of while titles in border | 4 | 8 | 12 | 16 | 20 | 40 | 400 |
Hence, the table shows y = 8x + 16.
(b) On the basis of tables given in sol. (a) part, we draw the following graph
(c) If we join all points in above graph, we get a straight line. This shows, that all points lies on a line.
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संबंधित प्रश्न
Plot the following points on a graph sheet. Verify if they lie on a line
K(2, 3), L(5, 3), M(5, 5), N(2, 5)
Locate the points:
(1, 1), (1, 2), (1, 3), (1, 4)
In the given graph the coordinates of point x are ______.
______ displays data that changes continuously over periods of time.
For the point (5, 2), the distance from the x-axis is ______ units.
For fixing a point on the graph sheet we need two coordinates.
Write the y-coordinate (ordinate) of the given point.
(2, 7)
Explain the situations represented by the following distance-time graph.
The table shows the data collected for Dhruv’s walking on a road.
| Time (in minutes) |
0 | 5 | 10 | 15 | 20 | 25 |
| Distance (in km) |
0 | 0.5 | 1 | 1.25 | 1.5 | 1.75 |
- Plot a line graph for the given data using a suitable scale.
- In what time periods did Dhruv make the most progress?
