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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
Draw the line passing through (2, 3) and (3, 2). Find the coordinates of the points at which this line meets the x-axis and y-axis.
State whether True or False. Correct those are false.
A point whose x coordinate is zero and y-coordinate is non-zero will lie on the y-axis.
Locate the points:
(2, 1), (2, 2), (2, 3), (2, 4)
Find the coordinates of points P, Q, R and S in Fig. 27.8.
In the given graph the letter that indicates the point (0, 3) is ______.
The coordinates of the origin are (0, 0).
The points (3, 5) and (5, 3) represent the same point.
Locate the points A(1, 2), B(3, 4) and C(5, 2) on a graph sheet taking suitable axes. Write the coordinates of the fourth point D to complete the rhombus ABCD. Measure the diagonals of this rhombus and find whether they are equal or not.
The following table gives the growth chart of a child.
| Height (in cm) | 75 | 90 | 110 | 120 | 130 |
| Age (in years) | 2 | 4 | 6 | 8 | 10 |
Draw a line graph for the table and answer the questions that follow.
- What is the height at the age of 5 years?
- How much taller was the child at the age of 10 than at the age of 6?
- Between which two consecutive periods did the child grow more faster?
Consider this input/output table.
| Input | 1 | 2 | 4 | 5 | 7 |
| Output | 2 | 5 | 11 | 14 | 20 |
- Graph the values from the table by taking Input along horizontal axis from 0 to 8 and Output along vertical axis from 0 to 24.
- Use your graph to predict the outputs for inputs of 3 and 8.
