Function Worksheet

**Page 8**

71.

a. | Rent to be paid = $120 - Number of days rented | ||

b. | Rent to be paid = $120 + Number of days rented | ||

c. | Rent to be paid = $\frac{\$120}{\mathrm{N}umberofdaysrented}$ | ||

d. | Rent to be paid = $120 × Number of days rented |

As the number of days increases by 1, the rent to be paid increases by 120.

So, the rule representing the relationship between the number of days rented and the rent to be paid can be given as, Rent to be paid = $120 × Number of days rented.

Correct answer : (4)

72.

a. | Table 1 | ||

b. | Table 2 | ||

c. | Table 3 | ||

d. | Table 4 |

[Original expression.]

0.2 × 0 = 0 miles

[The distance traveled in 0 seconds.]

0.2 × 5 = 1 mile

[The distance traveled in 5 seconds.]

0.2 × 10 = 2 miles

[The distance traveled in 10 seconds.]

0.2 × 15 = 3 miles

[The distance traveled in 15 seconds.]

The distance traveled in 0, 5, 10, 15 seconds is 0, 1, 2 and 3 miles.

These values are represented as shown in Table 2.

So, Table 2 satisfies the relationship by substituting the values of

Correct answer : (2)

73.

Hardy earns $9 per hour. Which of the following rules describes the relation between the number of hours he worked and the amount he earns?

a. | Earnings = $9 + number of hours | ||

b. | Earnings = $9 - number of hours | ||

c. | Earnings = $9 / number of hours | ||

d. | Earnings = $9 x number of hours |

So, the number of hours he worked and the amount he earns is given by the relation,

Earnings = $9 x number of hours.

Correct answer : (4)

74.

Which of the following function rules satisfies the table?

a. | $f$ ($n$) = 2$n$ + 1 | ||

b. | $f$ ($n$) = 2$n$ - 1 | ||

c. | $f$ ($n$) = 2$n$ | ||

d. | $f$ ($n$) = 2$n$ + 2 |

The function is denoted by

Let

Output = 2 × Input + 1 = 2 ×

The function, which satisfies the table is

Correct answer : (1)

75.

A club charges $24 per head as membership fee. If 13 people become the members, then what is the amount collected?

a. | $352 | ||

b. | $332 | ||

c. | $292 | ||

d. | $312 |

[Original expression.]

$24 × 13 = $312

[Calculate the membership fee for 13 people.]

The amount collected is $312.

Correct answer : (4)

76.

Which of the tables describes the function $f$($n$) = - 4$n$ + 6 if $n$ = 0, 1, 2, 4?

a. | Table 1 | ||

b. | Table 2 | ||

c. | Table 3 | ||

d. | Table 4 |

[Original function.]

[Substitute

[Substitute

[Substitute

[Substitute

The values obtained can be shown in the form of a table as shown in Table 4.

So, Table 4 is the table describing the function.

Correct answer : (4)

77.

Which of the tables gives the input - output relationship for the rule $y$ = 5$x$ + 2 where $x$ = 1, 2, 3, 4?

a. | Table 1 | ||

b. | Table 2 | ||

c. | Table 3 | ||

d. | Table 4 |

[Original equation.]

[Substitute

[Substitute

[Substitute

[Substitute

The values obtained can be shown in the form of a table as shown in Table 2.

So, Table 2 gives the input-output relationship for the rule.

Correct answer : (2)

78.

Which of the following rules describes the input-output value in the table?

a. | $f$ ($x$) = $x$ + 6 | ||

b. | $f$ ($x$) = 2$x$ - 5 | ||

c. | $f$ ($x$) = 2$x$ + 7 | ||

d. | None of the above |

The values of

The values of

The values of

The values of

So,

Correct answer : (3)

79.

A soap manufacturing company packs the soaps in cartons. Which of the following rules represents the relationship between the cartons and soaps, if 109 soaps are packed in one carton?

a. | Number of soaps = 109 / Number of cartons | ||

b. | Number of soaps = 109 × Number of cartons | ||

c. | Number of soaps = 109 + Number of cartons | ||

d. | Number of soaps = 109 - Number of cartons |

As the number of cartons increase by 1, the number of soaps increase by 109.

So, the rule representing the relationship between the soaps and the cartons can be given as, Number of soaps = 109 × Number of cartons.

Correct answer : (2)

80.

Electricity board charges an overdue of $0.06 per day for the late payment of the electricity bill. The function which describes this is $f$($n$) = 0.06 × $n$, where $n$ is the number of days overdue. What is overdue to be paid, if a customer pays the bill after 8 days?

a. | $48 | ||

b. | $0.49 | ||

c. | $0.48 | ||

d. | $4.80 |

[Original expression.]

[Substitute and multiply.]

The customer should pay an overdue of $0.48 if he pays the bill after 8 days.

Correct answer : (3)