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Published on: 16/09/2019
Introduction to Graphs
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1.
A bank gives 10% simple interest (S.I.) on deposits by senior citizens. Draw a graph to show the relation between the sum deposited and simple interest earned. Find from your graph.
(i) The annual interest for an investment of Rs.250.
2.
Write the x-coordinate (abscissa) of each of the given points.
(0, 5)
3.
The graph shows the maximum temperatures recorded for two consecutive weeks of a town. Study the graph and answer the question that follow .
On which day was the temperature same in both the weeks?
4.
The following table shows the daily production of cars in a factory for 6 days of the week. Draw a bar graph.
| Days | Mon | Tue | Wed | Thurs | Fri | Sat |
|---|---|---|---|---|---|---|
| Number of cars |
250 | 300 | 200 | 250 | 250 | 200 |
5.

In the given figure shows that, the movement of an object across a playground. Read it and answer the following question
How long the object was stationary?
6.
The following table gives the body temperature in oF corresponding to oC. Draw the graph using the table and answer the questions that follow:
| Temperature(oC) | 0 | 15 | 30 |
|---|---|---|---|
| Temperature (oF) | 32 | 59 | 86 |
(a) What will be the temperature in oF, when it is 10oC?
(b) What will be the temperature in oC, when it is 68oF?
7.
The table given below shows the temperatures recorded on a day at different times:

Observe the table and answer the following questions.
(a) What is the temperature at 8 am?
(b) At what time is the temperature 3oC?
(c) During which hour did the temperature fall?
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, 2) and (2, 1).
9.
The following graph shows the relation between distance and time (distance-time graph). Find the distance covered in 3 s.

10.
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).
11.
Write the x-coordinate (abscissa) of the given points.
(7, 3)
12.
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 (3,0), (0,4), (-3,0) and (0, -4).
13.
Draw the line graph from the following table (monthly output of a tin mine) :
| Months | June | July | Aug | Sep | Oct | Nov | Dec |
| Output of tin mine (in tonne) |
2 | 10 | 6 | 9 | 5 | 5 | 8 |
Answer the following questions:
(a) Whatis largest monthly output of the tin mine?
(b) For which months does the output remains constant?
14.
Write the coordinates of the vertices of each of these adjoining figures.
15.
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)
1.
(i) Rs.25
(ii) Rs.700
2.
Given (0, 5)
In this point, x-coordinate (abscissa) is 0, i.e.
(x = 0).
3.
Wednesday
4.
5.
10 min
6.
(a) 50oF (b)20oF
7.
(a) 7oC (b) 6 am (e) 5 to 6 am
8.

All points are not lie on the straight line. Hence, if we join the given points in the given order, we found a square-shaped figure.
9.
Distance covered in 3 s is 15 m.
i.e.

10.

All given points lie on a straight line.
11.
Given, (7, 3)
In this point, x-coordinate (abscissa) is 7 i.e.
x =7.
12.
.png)
Shape formed by these points is a rhombus.
13.
.png)
(a) 10 tonnes in July
(b) For October and November output remains constant.
14.
(i) In the rectangle OABC, the coordinates of O is (0, 0), A is (2, 0), B is (2, 3) and C is (0, 3)
(ii) In the parallelogram PQRS, the coordinates of Pis (4, 3), Qis (6, 1), R is (6, 5) and S is (4, 7)
.png)
(iii) In the ΔKLM, the coordinates of K is (10, 5), Lis (7, 7) and Mis (10, 8).
15.
To plot the given points in each case, firstly we draw the X and Y-axes and then plot the given points.
Given points K, L,M and N do not lie on a line.
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