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प्रश्न
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.
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उत्तर
a. On the basis of given input/output table, we can draw the following table.
The graph shows y = 3x – 1 pattern.
b. ∴ Pattern is y = 3x – 1
If x = 3, then y = 3 × 3 – 1 = 9 – 1 = 8
If x = 8, then y = 3 × 8 – 1 = 24 – 1 = 23
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संबंधित प्रश्न
Locate the points:
(1, 1), (1, 2), (1, 3), (1, 4)
The following table gives the information regarding length of a side of a square and its area:
| Length of a side (in cm): | 1 | 2 | 3 | 4 | 5 |
| Area of square (in cm2): | 1 | 4 | 9 | 16 | 25 |
Draw a graph to illustrate this information.
In the given graph the coordinates of point x are ______.
The process of fixing a point with the help of the coordinates is known as ______ of the point.
The ordinate of a point is its distance from the y-axis.
The points (3, 5) and (5, 3) represent the same point.
Draw a parallelogram ABCD on a graph paper with the coordinates given in Table I. Use this table to complete Tables II and III to get the coordinates of E, F, G, H and J, K, L, M.
| Point | (x, y) |
| A | (1, 1) |
| B | (4. 4) |
| C | (8, 4) |
| D | (5, 1) |
Table I
| Point | (0.5x, 0.5y) |
| E | (0.5, 0.5) |
| F | |
| G | |
| H |
Table II
| Point | (2x, 1.5y) |
| J | (2, 1.5) |
| K | |
| L | |
| M |
Table III
Draw parallelograms EFGH and JKLM on the same graph paper.
Plot the points (2, 4) and (4, 2) on a graph paper, then draw a line segment joining these two points.
Observe the toothpick pattern given below:
(a) Imagine that this pattern continues. Complete the table to show the number of toothpicks in the first six terms.
| Pattern | 1 | 2 | 3 | 4 | 5 | 6 |
| Toothpicks | 4 | 13 |
(b) Make a graph by taking the pattern numbers on the horizontal axis and the number of toothpicks on the vertical axis. Make the horizontal axis from 0 to 10 and the vertical axis from 0 to 30.
(c) Use your graph to predict the number of toothpicks in patterns 7 and 8. Check your answers by actually drawing them.
(d) Would it make sense to join the points on this graph? Explain.
The two graphs below compare Car A and Car B. The left graph shows the relationship between age and value. The right graph shows the relationship between size and maximum speed.
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 |
Use the graphs to determine whether each statement is true or false, and explain your answer.
- The older car is less valuable.
- The faster car is larger.
- The larger car is older.
- The faster car is older.
- The more valuable car is slower.
Sonal and Anmol then made another sequence of the designs. Three of the designs are shown below.
 |
 |
 |
(a) Complete the table.
| Rows, r | 4 | 6 | 8 |
| Number of white Tiles, w | 9 | ||
| Number of Purple Tiles, p | 1 |
(b) Draw a graph of rows and number of white tiles. Draw another graph of the number of rows and the number of purple tiles. Put the number of rows on the horizontal axis.
(c) Which graph is linear?
