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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
State whether True or False. Correct those are false.
The coordinates of the origin are (0, 0).
We need ______ coordinates for representing a point on the graph sheet.
A point in which the x-coordinate is zero and y-coordinate is non-zero will lie on the ______.
The process of fixing a point with the help of the coordinates is known as ______ of the point.
The y-coordinate of any point lying on the x-axis will be zero.
Match the ordinates of the points given in Column A with the items mentioned in Column B.
| Column A | Column B |
| (a) (7, 0) | (i) The ordinate is double the abscissa. |
| (b) (11, 11) | (ii) The ordinate is zero. |
| (c) (4, 8) | (iii) The ordinate is equal to the abscissa. |
| (d) (6, 2) | (iv) The abscissa is double the ordinate. |
| (e) (0, 9) | (v) The abscissa is triple the ordinate. |
| (f) (6, 3) | (vi) The abscissa is zero. |
Write the x-coordinate (abscissa) of the given point.
(7, 3)
The graph given below compares the sales of ice creams of two vendors for a week.
Observe the graph and answer the following questions.
- Which vendor has sold more icecreams on Friday?
- For which day was the sales same for both the vendors?
- On which day did the sale of vendor A increase the most as compared to the previous day?
- On which day was the difference in sales the maximum?
- On which two days was the sales same for vendor B?
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.
This graph shows the per cent of students who dropped out of school after completing High School. The point labelled A shows that, in 1996, about 4.7% of students dropped out.
- In which year was the dropout the rate highest? In which year was it the lowest?
- When did the per cent of students who dropped out of high school first fall below 5%?
- About what per cent of students dropped out of high school in 2007? About what per cent of students stayed in high school in 2008?
