Question

The following table gives the growth chart of a child.

Height(in cm)	$75$	$90$	$110$	$120$	$130$
Age(in yr)	$2$	$4$	$6$	$8$	$10$

Draw a line graph for the table and find the two consecutive periods when the child grow more faster.

Accepted Answer

The following table gives the growth chart of a child.

Height(in $75$ ) $75$ $90$ $110$ $120$ $130$

Age(in yr) $2$ $4$ $6$ $8$ $10$

Steps to plot the points:

Draw the $x$ and $y$ axes with the scale, $1$ division of $x$ -axis $= 10 cm$ and $1$ division of $y$ -axis $= 2$ years. Label $x$ -axis as height and $y$ -axis as age.

From the data, we can observe that the difference in age at various ages is similar. Hence, in $x$ -axis we'll start from $60$ with equal divisions of $10 cm$ .

To plot the point $(75, 2)$ , the $x$ -coordinate is $75$ , which is positive and the $y$ -coordinate is $2$ , which is positive as well.
Hence, the point $A (75, 2)$ lies in the first quadrant.
Starting from the origin, move $2.5$ units to the right along the $x$ -axis and then $1$ unit up and mark the point.

To plot the point $(90, 4)$ , the $x$ -coordinate is $90$ , which is positive and the $y$ -coordinate is $4$ , which is positive as well.
Hence, the point $(90, 4)$ lies on the first quadrant.
Starting from the origin, move $4$ units to the right along the $x$ -axis and $2$ units up and mark it.

To plot the point $(110, 6)$ , the $x$ -coordinate is $110$ , which is positive and the $y$ -coordinate is $6$ , which is also positive.
Hence, the point $(110, 6)$ lies on the first quadrant.
Starting from the origin, move $6$ units to the right along the $x$ -axis and $3$ units up and mark it.

To plot the point $(120, 8)$ , the $x$ -coordinate is $120$ , which is positive and the $y$ -coordinate is $8$ , which is also positive.
Hence, the point $(120, 8)$ lies on the first quadrant.
Starting from the origin, move $7$ units to the right along the $x$ -axis and $4$ units up and mark it.

To plot the point $(130, 10)$ , the $x$ -coordinate is $130$ , which is positive and the $y$ -coordinate is $10$ , which is also positive.
Hence, the point $(130, 10)$ lies on the first quadrant.
Starting from the origin, move $8$ units to the right along the $x$ -axis and $5$ units up and mark it.

Join the points.

After following the above steps, below is the graph obtained.

From the given data, we can observe that the height of the child has grown by $20 cm$ , which is the largest among the consecutive periods. It happened between $4$ years to $6$ years.

Temperature( $° C$ )	$0$	$15$	$30$
Temperature( $° F$ )	$32$	$59$	$86$

Temperature( $° C$ )	$0$	$15$	$30$
Temperature( $° F$ )	$32$	$59$	$86$

Deposit(in $₹$ )	$5000$	$6000$	$7000$	$8000$	$9000$
Simple interest(in $₹$ ) in $1$ year	$300$	$420$	$540$	$660$	$780$

Abhishek Chauhan and Vivek Singhal Solutions for Chapter: Introduction to Graphs, Exercise 3: Topic Exercise 15.3

Abhishek Chauhan Mathematics Solutions for Exercise - Abhishek Chauhan and Vivek Singhal Solutions for Chapter: Introduction to Graphs, Exercise 3: Topic Exercise 15.3

Questions from Abhishek Chauhan and Vivek Singhal Solutions for Chapter: Introduction to Graphs, Exercise 3: Topic Exercise 15.3 with Hints & Solutions

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