The table below shows the quantities of onions consumed (in kg ) over 5 weeks by a family. Week 1 2 3 4 5 Quantity of onion (in kg ) 1 2 3 4 5 Draw a graph between the week and quantity of onion consumed.

We are given to draw a graph between the time in weeks and the quantity of onion (in kg ). Here, the times (in weeks) will be considered as the independent variables X and these will be represented in the X -axis. The quantity of onion (in kg ) are considered the dependent variables Y and these will be represented in the Y -axis. Hence, the table looks like the following. Week X 1 2 3 4 5 Quantity of onion (in kg ) Y 1 2 3 4 5 The scale chosen in the X -axis is: 1 unit = 1 week and, the scale chosen in the Y -axis is: 1 unit = 1 kg . Now, we plot the points X 1 , Y 1 = 1 , 1 , X 2 , Y 2 = ( 2 , 2 ) , X 3 , Y 3 = ( 3 , 3 ) , X 4 , Y 4 = ( 4 , 4 ) and X 5 , Y 5 = ( 5 , 5 ) on the graph paper and draw a line connecting the points. The line is the required graph as shown below.

Anita made some musical instruments using pipes of different lengths. The mathematical relation between the length of pipe (in cm ) and the pitch (cycles per second) of music is shown in the table below: Pitch (cycles per second) 64 128 192 261 300 395 438 512 Length of pipe (in cm ) 80 41 26 19 18 13 12 10 Look at the graph and answer the following question: What should be the length of pipe to obtain a pitch of 160 cycles per second?

Anita made some musical instruments using pipes of different lengths. The mathematical relation between the length of pipe (in cm ) and the pitch (cycles per second) of music is shown in the graph below: We are given to find the length of pipe to obtain a pitch of 160 cycles per second. For this, first, we locate the point P representing 160 cycles per second mark on the y -axis. From P , we move horizontally parallel to the x -axis and locate the point Q on the graph, whose ordinate is 160 cycles per second. Now, we move vertically down parallel to the y -axis and locate the point R on the x -axis. We observe that the point R corresponds to the length of pipe equal to 33 cm . Therefore, the length of pipe to obtain a pitch of 160 cycles per second is 33 cm (approximately)

Anita made some musical instruments using pipes of different lengths. The mathematical relation between the length of pipe (in cm ) and the pitch (cycles per second) of music is shown in the table below: Pitch (cycles per second) 64 128 192 261 300 395 438 512 Length of pipe (in cm ) 80 41 26 19 18 13 12 10 Look at the graph and answer the following questions: What will be the pitch when the length of pipe is 60 cm ?

Anita made some musical instruments using pipes of different lengths. The mathematical relation between the length of pipe (in cm ) and the pitch (cycles per second) of music is shown in the graph below: We are given to find the pitch when the length of pipe is 60 cm . For this, first, we locate the point P representing 60 cm mark on the x -axis. From P , we move vertically up parallel to the y -axis and locate the point Q on the graph, whose abscissa is 60 cm . Now, we move horizontally at the left side parallel to the x -axis and locate the point R on the y -axis. We observe that the point R corresponds to the pitch equal to 80 cycles per second. Therefore, the required pitch when the length of pipe is 60 cm is 80 cycles per second.

HARD

10th Chhattisgarh Board

IMPORTANT

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Find the value of $x^{2}$ for different values of $x$ and draw a graph between $x$ and $x^{2}$ . The values of $x$ are integer numbers between $- 4$ and $+ 4$ .

Important Questions on Graphs

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10th Chhattisgarh Board

IMPORTANT

Mathematics Class - 10>Chapter 7 - Graphs>Exercise–1>Q 5

The table below shows the quantities of onions consumed (in $kg$ ) over $5$ weeks by a family.

Week	$1$	$2$	$3$	$4$	$5$
Quantity of onion (in $kg$ )	$1$	$2$	$3$	$4$	$5$

Draw a graph between the week and quantity of onion consumed.

HARD

10th Chhattisgarh Board

IMPORTANT

Mathematics Class - 10>Chapter 7 - Graphs>Exercise–1>Q 6

According to an article published in a science magazine the speed of ants in a particular place is affected by the temperature of that place. If the equation

s = \frac{t - 20}{5}

shows the relation between the temperature of a place and the speed of ants where temperature,

t

is in '

° C

' and speed,

s

is in

cm

per second, then draw the graph between the speed of ants and temperature using

t = 25 °, 30 °, 35 °, 40 °

. Which quantity was taken on the

X

-axis?

HARD

10th Chhattisgarh Board

IMPORTANT

Mathematics Class - 10>Chapter 7 - Graphs>Exercise–1>Q 6

According to an article published in a science magazine the speed of ants in a particular place is affected by the temperature of that place. If the equation

s = \frac{t - 20}{5}

shows the relation between the temperature of a place and the speed of ants where temperature,

t

is in '

° C

' and speed,

s

is in

cm / s

, then draw the graph between the speed of ants and temperature using

t = 25 °, 30 °, 35 °, 40 °

. Which quantity was taken on the

Y

-axis?

HARD

10th Chhattisgarh Board

IMPORTANT

Mathematics Class - 10>Chapter 7 - Graphs>Exercise–1>Q 6

According to an article published in a science magazine the speed of ants in a particular place is affected by the temperature of that place. If the equation

s = \frac{t - 20}{5}

shows the relation between the temperature of a place and the speed of ants where temperature,

t

is in '

° C

' and speed,

s

is in

cm / s

, then draw the graph between the speed of ants and temperature using

t = 25 °, 30 °, 35 °, 40 °

. What was the scale used to depict the quantities on

X

and

Y

-axis?

HARD

10th Chhattisgarh Board

IMPORTANT

Mathematics Class - 10>Chapter 7 - Graphs>Exercise–1>Q 6

According to an article published in a science magazine the speed of ants in a particular place is affected by the temperature of that place. If the equation

s = \frac{t - 20}{5}

shows the relation between the temperature of a place and the speed of ants where temperature,

t

is in '

° C

' and speed,

s

is in

cm / s

, then draw the graph between the speed of ants and temperature using

t = 25 °, 30 °, 35 °, 40 °

. What is the temperature of the place where the speed of ants is

2.5 cm

per second?

HARD

10th Chhattisgarh Board

IMPORTANT

Mathematics Class - 10>Chapter 7 - Graphs>Exercise–1>Q 6

According to an article published in a science magazine the speed of ants in a particular place is affected by the temperature of that place. If the equation

s = \frac{t - 20}{5}

shows the relation between the temperature of a place and the speed of ants where temperature,

t

is in '

° C

' and speed,

s

is in

cm / s

, then draw the graph between speed of ants and temperature using

t = 25 °, 30 °, 35 °, 40 °

. What will be the change in speed of ants if the temperature increases to

40 ° C

from

30 ° C ?

MEDIUM

10th Chhattisgarh Board

IMPORTANT

Mathematics Class - 10>Chapter 7 - Graphs>Exercise–1>Q 7

Anita made some musical instruments using pipes of different lengths. The mathematical relation between the length of pipe (in $cm$ ) and the pitch (cycles per second) of music is shown in the table below:

Pitch (cycles per second)	$64$	$128$	$192$	$261$	$300$	$395$	$438$	$512$
Length of pipe (in $cm$ )	$80$	$41$	$26$	$19$	$18$	$13$	$12$	$10$

Question Image

Look at the graph and answer the following question:
What should be the length of pipe to obtain a pitch of $160$ cycles per second?

MEDIUM

10th Chhattisgarh Board

IMPORTANT

Mathematics Class - 10>Chapter 7 - Graphs>Exercise–1>Q 7

Pitch (cycles per second)	$64$	$128$	$192$	$261$	$300$	$395$	$438$	$512$
Length of pipe (in $cm$ )	$80$	$41$	$26$	$19$	$18$	$13$	$12$	$10$

Question Image

Look at the graph and answer the following questions:
What will be the pitch when the length of pipe is $60 cm ?$

Find the value of x2 for different values of x and draw a graph between x and x2. The values of x are integer numbers between -4 and +4 .

Important Questions on Graphs

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Find the value of $x^{2}$ for different values of $x$ and draw a graph between $x$ and $x^{2}$ . The values of $x$ are integer numbers between $- 4$ and $+ 4$ .