Application of Graphs
Trending Questions
A random survey of the number of children of various age groups playing in park was found as follows:
Age (in years)Number of children1−252−333−565−7127−10910−151015−174
Draw a histogram to represent the data above.
What is the amount of interest on Rs 20000 for one year?
Rs 1500
Rs 1000
Rs 2000
Rs 1200
Draw the graphs for the following tables of values, with suitable scales on the axes.
Interest on deposits for a year.
Deposit (in Rs.)10002000300040005000Simple Interest (in Rs.)80160240320400
(i) Does the graph pass through the origin?
(ii) Use the graph to find the interest on Rs 2500 for a year.
(iii) To get an interestofRs280 per year, how much money should be deposited?
The equation representing the y  axis is
(a) x = 0
(b) y = 0
(c) x = a
(d) y = a
Use the tables below to draw linear graphs.
(a) The number of days a hill side city received snow in different years.

Year
2003
2004
2005
2006
Days
8
10
5
12
(b) Population (in thousands) of men and women in a village in different years.

Year
2003
2004
2005
2006
2007
Number of men
12
12.5
13
13.2
13.5
Number of women
11.3
11.9
13
13.6
12.8
A courierperson cycles from a town to a neighboring suburban area to deliver a parcel to a merchant. His distance from the town at different times is shown by the following graph. (a) What is the scale taken for the time axis? (b) How much time did the person take for the travel? (c) How far is the place of the merchant from the town? (d) Did the person stop on his way? Explain. (e) During which period did he ride fastest?
The following chart gives the growth in height in terms of percentage of full height of boys and girls with their respective ages.
Age(in Years)89101112131415161718Boys(in percentage)72757881848892959899100Girls(in percentage)778184889195989999.5100100
Draw the line graph of above data on the same sheet and answer the following questions.
In which year both the boys and the girls achieve their maximum height?
Draw the graphs for the following tables of values, with suitable scales on the axes.
Distance travelled by a car
Time (in hours)6 a.m7 a.m8 a.m9 a.mDistance (in km)4080120160
(i) How much distance did the car cover during the period 7.30 a.m. to 8 a.m.?
(ii) What was the time when the car had covered a distance of 100 km since its start?
Sum Deposited (in ₹)  100  200  300  500  1000 
Simple interest (in ₹)  10  20  30  50  100 
 ₹700
 ₹600
 ₹500
 ₹850
 (2, 4)
 (4, 2)
 (1, 2)
 (2, 1)
Draw the graphs for the following tables of values, with suitable scales on the axes.
(a) Cost of apples

Number of apples
1
2
3
4
5
Cost (in Rs)
5
10
15
20
25
(b) Distance travelled by a car

Time (in hours)
6 a.m.
7 a.m.
8 a.m.
9 a.m.
Distance (in km)
40
80
120
160
(i) How much distance did the car cover during the period 7.30 a.m. to 8 a.m.?
(ii) What was the time when the car had covered a distance of 100 km since its start?
(c) Interest on deposits for a year:

Deposit (in Rs)
1000
2000
3000
4000
5000
Simple interest (in Rs)
80
160
240
320
400
(i) Does the graph pass through the origin?
(ii) Use the graph to find the interest on Rs 2500 for a year:
(iii) To get an interest of Rs 280 per year, how much money should be deposited?
The daily pocket expenses of 206 students in a school are given below.
Pocket expense0−55−1010−1515−2020−2525−3030−3535−40(in rupees)Number of students1016304250301612(Frequency)
Construct a frequency polygon representing the above data. [4 MARKS]
The following table gives the growth chart of a child.
Height (in cm)7590110120130Age (in years)246810
Draw a line graph for the table and answer the question that follows.
(c) Between which two consecutive periods did the child grow faster?
The following table gives the growth chart of a child.
Height (in cm)7590110120130Age (in years)246810
Draw a line graph for the table and answer the question that follows.
(a) What is the height at the age of 5 years?
True or false?
(a) The equation of the xaxis is x = 0.
(b) The line x = 4 is parallel to yaxis
(c) The line y = 8 is perpendicular to xaxis.
(d) The lines x = y and x = − y are perpendicular to each other.
(e) The lines x = 9 and y = 9 are perpendicular to each other.
(f) The graph of y = x^{2} is a straight line.
(g) The line y = 3x + 4 does not intersect xaxis.
(h) In a rectangular coordinate system, the coordinate axes are chosen such that they form a pair of perpendicular lines.
Draw the temperaturetimes graph in each of the following cases:
(i) Time (in hours):7:009:0011:0013:0015:0017:0019:0021:00Temperature in (∘F):1001011041021009910098
(ii)Time (in hours):8:0010:0012:0014:0016:0018:0020:00Temperature in (∘F):1001011041039998100
The graph of y = a is
(a) the x  axis
(b) the y  axis
(c) a line parallel to y  axis
(d) a line parallel to x  axis
Pocket expense0−55−1010−1515−2020−2525−3030−3535−40(in rupees)Number of students1016304250301612(Frequency)
Construct a frequency polygon representing the above data. [4 MARKS]
Week
The following graph shows the temperature of a patient in a hospital, recorded every hour.
(a) What was the patient’s temperature at 1 p.m.?
(b) When was the patient’s temperature 38.5°C?
(c) The patient’s temperature was the same two times during the period given. What were these two times?
(d) What was the temperature at 1.30 p.m? How did you arrive at your answer?
(e) During which periods did the patient’s temperature show an upward trend?
The following graph shows the temperature of a patient in a hospital, recorded every hour
During which periods did the patients’ temperature show an upward trend?
Which of the following does not give a linear graph?
y = 9x + 1
y = 3
y = x^{2}
y = x
Fix up your own coordinate system on a graph paper and locate the following points on the sheet:
(i) P(−3, 5); (ii) Q(0, −8); (iii) R(4, 0); (iv) S(−4, −9)
Consider this input/output table.
Input12457Output25111420
Use your graph to predict the outputs for inputs of 3 and 8.
The below graph shows the relation between the quantity of petrol filled in a car and the cost of petrol.
What will be the cost of 12 litres of Petrol?
Rs 500
Rs 700
Rs 600
Rs 400
Consider this input/output table.
Input12457Output25111420
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.
Changes in y when x changes from 0 to 2.
 0
 4
 2
 4
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.
Table I
Point(x, y)A(1, 1)B(4, 4)C(8, 4)D(5, 1)
Table II
Point(0.5x, 0.5y)E(0.5, 0.5)FGH
Table III
Point(2x, 1.5y)J(2, 1.5)KLM
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.
Mayank deposited Rs. 1400 in a bank at the rate of 10% per annum. Draw a linear graph which shows the relationship between time and the interest earned by Mayank. [4 MARKS]