Function Worksheet

**Page 7**

61.

The table shows the area and side length of three squares.

Which formula shows the relationship between the length of a side and the area of the square?

Area of the square (A cm^{2}) | Length of a side (s cm) |

1 | 1 |

4 | 2 |

9 | 3 |

Which formula shows the relationship between the length of a side and the area of the square?

a. | A = 4$s$ | ||

b. | $s$ = A ^{2} | ||

c. | A = 2 × $s$ | ||

d. | A = $s$ ^{2} |

Correct answer : (4)

62.

The table shows the area and side length of three squares.

Which formula shows the relationship between the length of a side and the area of the square?

Area of the square (A cm^{2}) | Length of a side (s cm) |

1 | 1 |

4 | 2 |

9 | 3 |

Which formula shows the relationship between the length of a side and the area of the square?

a. | A = 2 × $s$ | ||

b. | A = $s$ ^{2} | ||

c. | A = 4$s$ | ||

d. | $s$ = A ^{2} |

Correct answer : (2)

63.

The table shows the area and side length of three squares.

Which formula shows the relationship between the length of a side and the area of the square?

Area of the square (A cm^{2}) | Length of a side (s cm) |

1 | 1 |

4 | 2 |

9 | 3 |

Which formula shows the relationship between the length of a side and the area of the square?

a. | A = 4$s$ | ||

b. | A = $s$ ^{2} | ||

c. | $s$ = A ^{2} | ||

d. | A = 2 × $s$ |

Correct answer : (2)

64.

a. | Table 1 | ||

b. | Table 2 | ||

c. | Table 3 | ||

d. | Table 4 |

[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 × $r$ ^{2} | ||

b. | A = p × $r$ ^{3} | ||

c. | A = p × $r$ | ||

d. | A = $r$ |

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

Correct answer : (1)

66.

Which of the following rules describes the best input - output relationship from the table?

Input | Output |

5 | 3 |

10 | 8 |

15 | 13 |

7 | 5 |

a. | Output = 2 - Input | ||

b. | Output = Input + 2 | ||

c. | Output = Input - 2 | ||

d. | Output = 4 - Input |

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 days | Wages paid |

6 | 35 |

8 | 47 |

14 | 83 |

24 | 143 |

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 |

[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 $p$ = 4$s$ 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 |

[Original equation.]

[Perimeter for the side length of 1 inch.]

[Perimeter for the side length of 2 inches.]

[Perimeter for the side length of 3 inches.]

[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 = $\frac{\$11.99}{\mathrm{N}umberoftrousers}$ | ||

c. | Discount = $11.99 - Number of trousers | ||

d. | Discount = $11.99 + Number of trousers |

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 = $\frac{1}{2}$ × input?

a. | Table 1 | ||

b. | Table 2 | ||

c. | Table 3 | ||

d. | Table 4 |

The values in table 4 satisfy the relation.

Correct answer : (4)