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Function Worksheet - Page 7

Function Worksheet
  • Page 7
 61.  
The table shows the area and side length of three squares.
Area of the square (A cm2) Length of a side (s cm)
11
42
93

Which formula shows the relationship between the length of a side and the area of the square?
a.
A = 4s
b.
s = A2
c.
A = 2 × s
d.
A = s2


Answer: (d)


Correct answer : (4)
 62.  
The table shows the area and side length of three squares.
Area of the square (A cm2) Length of a side (s cm)
11
42
93

Which formula shows the relationship between the length of a side and the area of the square?
a.
A = 2 × s
b.
A = s2
c.
A = 4s
d.
s = A2


Answer: (b)


Correct answer : (2)
 63.  
The table shows the area and side length of three squares.
Area of the square (A cm2) Length of a side (s cm)
11
42
93

Which formula shows the relationship between the length of a side and the area of the square?
a.
A = 4s
b.
A = s2
c.
s = A2
d.
A = 2 × s


Answer: (b)


Correct answer : (2)
 64.  
Rose's mother prepares food in an oven, which consumes 200 KWh of electricity per day and the power company charges $10 per 100 KWh. Which of the tables shows the correct relationship between the electricity consumed and the amount charged?


a.
Table 1
b.
Table 2
c.
Table 3
d.
Table 4


Solution:

The charge for 200 KWh = $10 × 2 = $20
[200 = 2 × 100. So, the charge should be multiplied by 2.]

The charge for 300 KWh = $10 × 3 = $30
[300 = 3 × 100. So, the charge should be multiplied by 3.]

Similarly, the charge for 400 KWh = $10 × 4 = $40
[400 = 4 × 100. So, multiply with 4.]

Among the tables, only Table 3 matches the calculated values.

So, Table 3 shows the correct relationship between the electricity consumed and the amount charged.


Correct answer : (3)
 65.  
Which of the following rules expresses the area of a circle (A) as a function of radius (r)?
a.
A = p × r2
b.
A = p × r3
c.
A = p × r
d.
A = r


Solution:

Area of a circle = p × r2

The rule which expresses the area of a circle as a function of radius is A = p × r2.


Correct answer : (1)
 66.  
Which of the following rules describes the best input - output relationship from the table?
InputOutput
53
108
1513
75
a.
Output = 2 - Input
b.
Output = Input + 2
c.
Output = Input - 2
d.
Output = 4 - Input


Solution:

On observing the table, it is found that the output 3 = 5 - 2, 8 = 10 - 2, 13 = 15 - 2 and 5 = 7 - 2

So, the relation between the input and output values is Output = Input - 2.


Correct answer : (3)
 67.  
The workers in a manufacturing company are hired on a daily wage scheme. The table represents relation between the number of days a worker works and his wages paid. Which of the following rules represents the relationship?
Number of daysWages paid
635
847
1483
24143

a.
Wages = (6 × number of days worked) + 1
b.
Wages = 6 × (number of days worked - 1)
c.
Wages = 6 × (number of days worked + 1)
d.
Wages = (6 × number of days worked) - 1


Solution:

($6 × 6) - 1 = $35
[The wages paid for 6 days.]

($8 × 6) - 1 = $47
[The wages paid for 8 days.]

($14 × 6) - 1 = $83
[The wages paid for 14 days.]

($24 × 6) - 1 = $143
[The wages paid for 24 days.]

So, the relationship between the number of days worked and the wages paid is Wages = (6 × Number of days worked) - 1.


Correct answer : (4)
 68.  
The formula p = 4s shows that the perimeter of a square is a function of length of the side. Which of the tables shows the correct relationship between the perimeter and the side of the square?

a.
Table 1
b.
Table 2
c.
Table 3
d.
Table 4


Solution:

p = 4 × s
[Original equation.]

p = 4 × 1 = 4
[Perimeter for the side length of 1 inch.]

p = 4 × 2 = 8
[Perimeter for the side length of 2 inches.]

p = 4 × 3 = 12
[Perimeter for the side length of 3 inches.]

p = 4 × 4 = 16
[Perimeter for the side length of 4 inches.]

Table 3 gives the correct relationship between the side length and perimeter of the square.


Correct answer : (3)
 69.  
A textile manufacturing company decides to offer a discount on every trouser a customer buys. Which of the following rules represents the relationship between the number of trousers a customer buys and the discount offered?

a.
Discount = $11.99 × Number of trousers
b.
Discount = $11.99Number of trousers
c.
Discount = $11.99 - Number of trousers
d.
Discount = $11.99 + Number of trousers


Solution:

It is observed that an extra of $11.99 is added for every extra trouser bought.

The discount offered increases by 11.99 as the number of trousers bought increases by 1.

So, the rule representing the relationship can be given as, Discount offered = $11.99 × Number of trousers.


Correct answer : (1)
 70.  
Which of the tables demonstrates the relationship, output = 1 2 × input?

a.
Table 1
b.
Table 2
c.
Table 3
d.
Table 4


Solution:

Substitute the values given in the table in the relation, output = 1 / 2 × input.

The values in table 4 satisfy the relation.


Correct answer : (4)

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