Advertisements
Advertisements
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?
Advertisements
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.
APPEARS IN
संबंधित प्रश्न
Plot the following points on a graph sheet. Verify if they lie on a line
P(1, 1), Q(2, 2), R(3, 3), S(4, 4)
The following table gives the information regarding the number of persons employed to a piece of work and time taken to complete the work:
| Number of persons: | 2 | 4 | 6 | 8 |
| Time taken (in days): | 12 | 6 | 4 | 3 |
Plot a graph of this information.
______ displays data that changes continuously over periods of time.
The y-coordinate of the point (2, 4) is ______.
The point where the two axes intersect is called the ______.
Plot the given points on a graph sheet and check if the points lie on a straight line. If not, name the shape they form when joined in the given order.
(1, 2), (2, 4), (3, 6), (4, 8)
Plot the given points on a graph sheet and check if the points lie on a straight line. If not, name the shape they form when joined in the given order.
(1, 1), (1, 2), (2, 1), (2, 2)
If y-coordinate is 3 times x-coordinate, form a table for it and draw a graph.
The following is the time-distance graph of Sneha’s walking.
- When does Sneha make the least progress? Explain your reasoning.
- Find her average speed in km/hour.
