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# Function Worksheet - Page 6

Function Worksheet
• Page 6
51.
Which of the equations best represents the rule for the table?
 $x$ 1 2 3 4 $y$ 8 16 24 32
 a. $y$ = 3$x$ + 7 b. $y$ = 8$x$ c. $y$ = 8$x$ + 5 d. $y$ = $x$ + 7

#### Solution:

The values of y obtained when x = 1, 2, 3, 4 in y = 3x + 7 are 10, 13, 16, 19.

The values of y obtained when x = 1, 2, 3, 4 in y = x + 7 are 8, 9, 10, 11.

The values of y obtained when x = 1, 2, 3, 4 in y = 8x + 5 are 13, 21, 29, 37.

The values of y obtained when x = 1, 2, 3, 4 in y = 8x are 8, 16, 24, 32.

The values of y obtained for the equation y = 8x are same as that of the values given in the table.

So, the equation y = 8x best represents the given table.

Correct answer : (2)
52.
Identify the equation that represents the rule for the pattern shown in the table.
 $x$ 3 5 7 9 $y$ 18 20 22 24
 a. $y$ = 6$x$ b. $y$ = 3$x$ + 1 c. $y$ = 4$x$ d. $y$ = $x$ + 15

#### Solution:

The values of y obtained when x = 3, 5, 7, 9 in y = 4x are 12, 20, 28, 36.

The values of y obtained when x = 3, 5, 7, 9 in y = 3x + 1 are 10, 16, 22, 28.

The values of y obtained when x = 3, 5, 7, 9 in y = 6x are 18, 30, 42, 54.

The values of y obtained when x = 3, 5, 7, 9 in y = x + 15 are 18, 20, 22, 24.

The values of y obtained for the equation y = x + 15 are same as that of the values given in the table.

So, the equation y = x + 15 best represents the given table.

Correct answer : (4)
53.
Identify the equation that represents the table.
 $x$ 0 2 4 8 $y$ 2 3 4 6

 a. $y$ = $x$ + 2 b. $y$ = 2$x$ - 1 c. $y$ = $\frac{1}{2}$$x$ + 2 d. $y$ = 2($x$ - 1)

#### Solution:

The values of y obtained when x = 0, 2, 4, 8 in y = 2x - 1 are -1, 3, 7, 15.

The values of y obtained when x = 0, 2, 4, 8 in y = 2(x - 1) are -2, 2, 6, 14.

The values of y obtained when x = 0, 2, 4, 8 in y = x + 2 are 2, 4, 6, 10.

The values of y obtained when x = 0, 2, 4, 8 in y = 1 / 2x + 2 are 2, 3, 4, 6.

The values of y obtained for the equation y = 1 / 2x + 2 are same as that of the values given in the table.

So, the equation y = 1 / 2x + 2 best represents the given table.

Correct answer : (3)
54.
The table shows the total number of days in different numbers of weeks. Which strategy would help you to find the total number of days in different numbers of weeks?

 Weeks 1 2 3 Days 7 14 21

 a. multiply the number of days by 7 b. add 7 to the number of weeks c. I don′t know. d. multiply the number of weeks by 7

#### Solution:

Number of days per week = 7.

As the number of week increases by 1, number of days increase by 7.

The strategy is ' multiply the number of weeks by 7' which can be used to find the total number of days in different number of weeks.

Correct answer : (4)
55.
The table shows the total number of wheels in different numbers of cars. Identify the strategy used to find the total number of wheels in different numbers of cars.

 Number of Cars 1 2 3 Number of Wheels 4 8 12
 a. multiply the number of wheels by 4 b. multiply the number of cars by 4 c. add 4 to the number of cars d. I don′t know.

#### Solution:

Each car has 4 wheels.

As the number of cars increases by 1, number of wheels increases by 4.

The strategy is 'multiply the number of cars by 4' which can be used to find the total number of wheels in different numbers of cars.

Correct answer : (2)
56.
The table shows the total number of months in different numbers of years. Which strategy would help you find the total number of months in different numbers of years?

 Years 1 2 3 Months 12 24 36

 a. I don′t know. b. multiply the number of months by 12 c. multiply the number of years by 12 d. add 12 to the number of years

#### Solution:

Each year has 12 months.

As the number of year increases by 1, number of months increases by 12.

The strategy is 'multiply the number of years by 12' which can be used to find the total number of months in different numbers of years.

Correct answer : (3)
57.
The table shows the total number of wheels in different numbers of bicycles. Identify the strategy used to find the total number of wheels in different numbers of bicycles.

 Number of Bicycles 1 2 3 Number of Wheels 2 4 6
 a. add 4 to the number of bicycles b. multiply the number of bicycles by 2 c. I don′t know. d. multiply the number of wheels by 2

#### Solution:

Each bicycle has 2 wheels.

As the number of bicycles increase by 1, number of wheels increases by 2.

The strategy is 'multiply the number of bicycles by 2' which can be used to find the total number of wheels in different number of bicycles.

Correct answer : (2)
58.
The table shows the total number of minutes in different numbers of hours. Which strategy would help you find the total number of minutes in different numbers of hours?

 Hours 1 2 3 Minutes 60 120 180

 a. I don′t know. b. multiply the number of hours by 60 c. multiply the number of minutes by 60 d. add 60 to the number of hours

#### Solution:

Each hour is equal to 60 minutes.

As the number of hours increase by 1, the number of minutes increases by 60.

The strategy is 'multiply the number of hours by 60' which can be used to find the total number of minutes in different numbers of hours.

Correct answer : (2)
59.
The table shows the area and side length of three squares.
 Area of the square (A cm2) 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. A = 2 × $s$ d. $s$ = A2

#### Solution:

From the table given area of the square = measure of its side × measure of its side

So, A = s2 shows the relationship between the length of a side and the area of the square.

Correct answer : (2)
60.
The table shows the area and side length of three squares.
 Area of the square (A cm2) 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. $s$ = A2 c. A = $s$2 d. A = 2 × $s$

#### Solution:

From the table given area of the square = measure of its side × measure of its side

So, A = s2 shows the relationship between the length of a side and the area of the square.

Correct answer : (3)

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