#### Solved Examples and Worksheet for Creating Tables and Locating the Values on Coordinate Plane

Q1Which of the following is the appropriate function table for the function? A. Table 1
B. Table 2
C. Table 3
D. None of the above

Step: 1
Let the input be x and output be y.
Step: 2
So, the function would be y = x + 2.
Step: 3
So, Table 2 is the appropriate function table.
Correct Answer is :   Table 2
Q2Choose the table that correctly represents the number of deer and the total number of legs they have. A. Table 1
B. Table 3
C. Table 2
D. Table 4

Step: 1
Each deer has 4 legs.
Step: 2
As the number of deer increases by 1, number of legs increases by 4.
Step: 3
So, Table 1 shows the correct relationship between the number of deer and the total number of legs they have.
Correct Answer is :   Table 1
Q3A bookshelf has 8 books. Which table correctly shows the total number of books in 4, 7, 10 bookshelves? A. Table 3
B. Table 1
C. Table 2

Step: 1
Each bookshelf has 8 books.
Step: 2
As the number of bookshelves increases by 1, the number of books increases by 8.
Step: 3
Number of books in 4 bookshelves = 4 × Number of books in each bookshelf
= 4 × 8 = 32
[Substitute and multiply.]
Step: 4
Number of books in 7 bookshelves = 7 × Number of books in each bookshelf
= 7 × 8 = 56
[Substitute and multiply.]
Step: 5
Number of books in 10 bookshelves = 10 × Number of books in each bookshelf
= 10 × 8 = 80
[Substitute and multiply.]
Step: 6
The values obtained match the values in Table 3.
Step: 7
So, Table 3 shows the number of books in 4, 7, and 10 bookshelves.
Correct Answer is :   Table 3
Q4Identify the table that represents the relationship between the number of wallets and boxes, if each box contains 5 wallets. A. Table 3
B. Table 1
C. Table 4
D. Table 2

Step: 1
Given that a box has 5 wallets. By multiplying the number of boxes × 5, we get 10 wallets for 2 boxes.
Step: 2
Similarly, for 3 boxes we get 15 wallets and so on.
Step: 3
Therefore, Table 1 gives the correct answer.
Correct Answer is :   Table 1
Q5Identify a table that correctly represents the number of wardrobes and the number of dresses they have, if each wardrobes holds 8 dresses. A. Table 2
B. Table 1
C. Table 4
D. Table 3

Step: 1
Given, a wardrobe holds 8 dresses. By multiplying the number of wardrobes × 8, we get 16 dresses for 2 wardrobes.
Step: 2
Similarly, for 3 wardrobes we get 24 dresses and so on.
Step: 3
Therefore, Table 1 gives the correct answer.
Correct Answer is :   Table 1
Q6Nathan made the number 6 with 6 matchsticks as shown. He wants to make 66, 666, and 6666 in the same way. Which of these tables shows the number of matchsticks he will need to make 66, 666, and 6666? A. Table1
B. Table 3
C. Table 4
D. Table 2

Step: 1
Nathan made the number 6 with 6 matchsticks.
[Given.]
Step: 2
If he wants to make '66' he needs 2 sets of 6 matchsticks: 6 × 2 = 12.
Step: 3
To make '666' he needs 3 sets of 6 matchsticks: 6 × 3 = 18.
Step: 4
To make '6666' he needs 4 sets of 6 matchsticks: 6 × 4 = 24.
Step: 5
So, the number of matchsticks he needs to make '66', '666', and '6666' are matches with the values given in Table 3.
Step: 6
Therefore, Table 3 is the correct answer.
Correct Answer is :   Table 3
Q7Tom and Bean are flying model airplanes. Both planes take off at the same time. John's plane climbs 2 feet every second. Bean's plane climbs 4 feet every second. Which Graph represents the corresponding terms as ordered pairs on a coordinate plane?
 Tom 2 4 6 8 Bean 4 8 12 16 A. Graph 1
B. Graph 3
C. Graph 4
D. Graph 2

Step: 1
Tom's plane climbs 2 feet every second. That means, in 1st second 2 feet, in 2nd second 4 feet, in 3rd second 6 feet , in 4th second 8 feet etc.
Step: 2
Bean's plane climbs 4 feet every second. That means, in 1st second 4 feet, in 2nd second 8 feet, in 3rd second 12 feet , in 4th second 16 feet etc.
Step: 3
Therefore we can form ordered pairs from the corresponding terms of both the patterns as (2,4), (4,8), (6,12), and (8,16).
Step: 4
Now, Graph 4 matches with the given data.
Correct Answer is :   Graph 4
Q8Graph the corresponding terms as ordered pairs on a coordinate plane that correctly represents the number of shelves and the number of bottles they have, if each shelf holds 8 bottles.
 Number of Shelves 1 2 3 4 Number of Bottles 8 16 24 32 A. Graph 3
B. Graph 1
C. Graph 4
D. Graph 2

Step: 1
Given, a shelf holds 8 bottles. By multiplying the number of shelves multiplied by 8, we get 16 bottles for 2 shelves.
Step: 2
Similarly, for 3 shelves we get 24 bottles and so on.
Step: 3
Therefore we can form ordered pairs from the corresponding terms of both the patterns as (1, 8), (2, 16), (3, 24), and (4, 32).
[From the table]
Step: 4
Amongst the choices, Graph 3 matches with the given table.
Correct Answer is :   Graph 3
Q9Mrs. Helen plans to spend $5 on gifts for each child at her son's birthday party. Which graph correctly shows how many dollars she will spend if 3 children, 5 children, 7 children or 9 children come to the party? A. Graph 4 B. Graph 2 C. Graph 1 D. Graph 3 Step: 1 Mrs. Helen plans to spend$5 on gifts for each child at her son's birthday party.
Step: 2
The money she will spend for 3 children = 3 × $5 =$15.
Step: 3
The money she will spend for 5 children = 5 × $5 =$25.
Step: 4
The money she will spend for 7 children = 7 × $5 =$35.
Step: 5
The money she will spend for 9 children = 9 × $5 =$45.
Step: 6
So, the following Table shows the amount of money she spends for the party. Step: 7
Therefore we can form ordered pairs from the corresponding terms of both the patterns as (3, 15), (5, 25), (7, 35), and (9, 45).
Step: 8
Now, graph the ordered pairs on the coordinate plane by taking number of children on X-axis and Number of dollars on Y-axis.
Step: 9
Amongst the choices, Graph 3 matches with the given data.
Correct Answer is :   Graph 3
Q10The table represents the relationship between the number of pencils and boxes, if each box contains 8
 Number of Boxes 1 2 3 4 Number of Pencils 8 16 24 32
pencils. Identify the graph that represents corresponding terms as ordered pairs on a coordinate plane. A. Graph 4
B. Graph 2
C. Graph 1
D. Graph 3

Step: 1
Given, a box has 8 pencils. By multiplying the number of boxes × 8, we get 16 pencils for 2 boxes.
Step: 2
Similarly, we get 24 pencils for 3 boxes and so on.
Step: 3
Therefore we can form ordered pairs from the corresponding terms of given table as (1, 8), (2, 16), (3,24), and (4, 32).
Step: 4
Now we can graph the ordered pairs on the coordinate plane by taking number of boxes on X-axis and total number of pencils on Y-axis.
Step: 5
Amongst the choices, graph 3 matches with the given data.
Correct Answer is :   Graph 3
Q11The table represents the number of boys and the total number of legs Identify the graph that represents corresponding terms as ordered pairs on a coordinate plane.
 Number of boys 4 8 12 16 Number of legs 8 16 24 32 A. Graph 4
B. Graph 2
C. Graph 3
D. Graph 1

Step: 1
A boy has 2 legs. By multiplying the number of boys by 2, we get 8 legs for 4 boys.
Step: 2
Similarly, for 8 boys we get 16 legs.
Step: 3
Now, we can form ordered pairs from the corresponding terms of given table as (4, 8), (8, 16), (12,24), and (16,32) and graph them by taking number of boys on X-axis and total number of legs on Y-axis.
Step: 4
Amongst the choices, Graph 2 represents the given data.
Correct Answer is :   Graph 2