Function Worksheet

**Page 1**

1.

Which of the following equations best represents the table?

a. | $y$ = 5$x$ - 4 | ||

b. | $y$ = $x$ - 1 | ||

c. | $y$ = 2$x$ - 1 | ||

d. | $y$ = 2$x$ + 2 |

The values of

The values of

The values of

The values of

So, the equation

Correct answer : (3)

2.

Andrew deposited $10 initially in his bank account. Then he deposited $5 every week. The total savings, '$c$' is represented by the equation, $c$ = 10 + 5$n$, where '$n$' denotes the number of weeks. Which table of values satisfies the equation?

a. | Table 3 | ||

b. | Table 2 | ||

c. | Table 4 | ||

d. | Table 1 |

You get the following table of values.

Compare the labels and values in this table with the tables given in the question.

So, values in table 1 satisfies the given equation.

Correct answer : (4)

3.

Which of the following equations is not a linear equation?

a. | 3$x$ + $y$ - 5 = - 7$x$ + 4$y$ + 3 | ||

b. | 3$x$ = 10 | ||

c. | 3$a$ + 472$b$ = 10$b$ + 37 | ||

d. | $x$ ^{2} - 1 = 15 |

In the equation

So,

Correct answer : (4)

4.

Identify the graph that represents a linear function.

a. | Graph 3 | ||

b. | Graph 1 | ||

c. | Graph 4 | ||

d. | Graph 2 |

Graph 2 is a straight line.

So, Graph 2 represents a linear equation.

Correct answer : (4)

5.

Identify the table that represents a linear function.

a. | Table 1 | ||

b. | Table 3 | ||

c. | Table 4 | ||

d. | Table 2 |

The values in the Table 2 satisfy the function

The values in the Table 3 satisfy the function

The values in the Table 4 satisfy the function

The data in table 1 represents a linear function.

Correct answer : (1)

6.

The length ($l$) and the width ($w$) of a rectangle with an area of 48 m^{2} are related by the equation $l$$w$ = 48. Which of the following best describes the model?

a. | can′t be determined | ||

b. | indirect variation | ||

c. | direct and indirect variation | ||

d. | direct variation |

Therefore, equation

Correct answer : (2)

7.

The perimeter ($P$) of a regular hexagon is 6 times the length of a side ($s$). Which of the equations best relates the variables?

a. | $P$ = $\frac{s}{6}$ | ||

b. | $P$ = 6$s$ | ||

c. | $P$ = $\frac{6}{s}$ | ||

d. | $s$ = 6$P$ |

Therefore,

Correct answer : (2)

8.

A can of French onion soup weighs 325 grams. The weight of a box of $n$ cans of the soup is $W$. Which of the following equations best relates the variables?

a. | $W$ = $\frac{325}{\mathrm{n}}$ | ||

b. | $W$$n$ = 325 | ||

c. | $W$ = $\frac{\mathrm{n}}{325}$ | ||

d. | $W$ = 325($n$) |

Therefore,

Correct answer : (4)

9.

John earns $13 for every half an hour he works. Which of the graphs best represents the situation?

a. | Graph 2 | ||

b. | Graph 1 | ||

c. | Graph 4 | ||

d. | Graph 3 |

Amount of money John earns in one hour = $26

If John works for more hours, the amount of money he earns, increases.

Therefore, the direct variation between the number of hours John works and the amount of money he earns can be given as, amount of money John earns = 26 ×

The number of hours John works and the amount he earns is given in the table.

Graph 3 best represents the situation.

Correct answer : (4)

10.

One pound of steak costs $7.65. The total cost of $p$ pounds is $C$. Which of the equations best relates the variables?

a. | $C$$p$ = 7.65 | ||

b. | $C$ = $\frac{7.65}{\mathrm{p}}$ | ||

c. | $C$ = 7.65 × $p$ | ||

d. | $C$ = $\frac{\mathrm{p}}{7.65}$ |

Therefore,

Correct answer : (3)