Function Rule Worksheet

**Page 1**

1.

Frank works as a sales person. He earns a salary of $425 and 4% commission on his monthly sales. Write a function rule that relates his total earnings to sales and find his earnings for the month, if his monthly sales are $4000.

a. | $600 | ||

b. | $585 | ||

c. | $575 | ||

d. | $745 |

Let,

Total earnings = 425 + 4% of his monthly sales.

[In words.]

[Substitute the value of his monthly sales.]

[Replace

= 425 + 160

[Multiply.]

= 585

[Add.]

Frank earns $585 for the month.

Correct answer : (2)

2.

A telephone company charges $24 as monthly rent and 70 cents per call. Write a function rule for the total monthly bill for a telephone connection.

a. | $f$($x$) = 24 + 0.7$x$ | ||

b. | $f$($x$) = 24 + 70$x$ | ||

c. | $f$($x$) = 24 + 7.0$x$ | ||

d. | None of the above |

Let

Total monthly bill = $24 for monthly rent + (70 cents per call) x number of calls made

[In words.]

[Substitute the values.]

The function rule for total monthly bill is

Correct answer : (1)

3.

A library charges $0.7 per day for an overdue book. How much is charged for a book, which is 16 days overdue?

a. | $11.9 | ||

b. | $12.6 | ||

c. | $11.2 | ||

d. | $10.5 |

The amount charged for the book

[Write the variable expression.]

[Write the function rule.]

[Substitute 16 for

= 11.2

[Multiply.]

So, the amount charged for the book, 16 days overdue is $11.2.

Correct answer : (3)

4.

Write a rule to describe the number of pints of a liquid as a function of the number of quarts.

a. | f(x) = 0.5$x$ | ||

b. | f(x) = 1.5$x$ | ||

c. | f(x) = 4$x$ | ||

d. | f(x) = 2$x$ |

Let

[1 quart = 2 pints.]

The function rule is

Correct answer : (4)

5.

Write a function rule to describe the number of fluid ounces of a liquid as a function of the number of quarts.

a. | $f$($x$) = 32$x$ | ||

b. | $f$($x$) = 16$x$ | ||

c. | $f$($x$) = 0.03125$x$ | ||

d. | None of the above |

Let

One quart is equivalent to 32 fluid ounces.

So, the function rule is

Correct answer : (1)

6.

Which of the following function rules describes the number of centimeters as function of the number of meters?

a. | $f$($x$) = 50$x$ | ||

b. | $f$($x$) = 0.01$x$ | ||

c. | $f$($x$) = 100$x$ | ||

d. | None of the above |

Let

One meter is equivalent to 100 centimeters.

So, the function rule is

Correct answer : (3)

7.

Which of the following function rules describes the number of yards as function of number of miles?

a. | $f$($x$) = 240$x$ | ||

b. | $f$($x$) = 1760$x$ | ||

c. | $f$($x$) = 800$x$ | ||

d. | None of the above |

Let

One mile is equivalent to 1760 yards.

So, the function rule is

Correct answer : (2)

8.

Which of the following function rules describes the number of grams as function of number of kilograms?

a. | $f$($x$) = $\frac{\mathrm{x}}{1000}$ | ||

b. | $f$($x$) = 2640$x$ | ||

c. | $f$($x$) = 1000$x$ | ||

d. | None of the above |

Let

One kilogram is equivalent to 1000 grams.

[words.]

[Rule.]

The function rule is

Correct answer : (3)

9.

Which of the following function rules describes the number of quarts as a function of number of gallons?

a. | $f$($x$) = $\frac{\mathrm{x}}{4}$ | ||

b. | $f$($x$) = 4$x$ | ||

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

d. | None of the above |

Let

One gallon is equivalent to 4 quarts.

The function rule is

Correct answer : (2)

10.

Which of the following function rules describes the number of seconds as a function of number of hours?

a. | f(x) = 60$x$ | ||

b. | f(x) = 3600$x$ | ||

c. | f(x) = $\frac{\mathrm{x}}{3600}$ | ||

d. | f(x) = $\frac{\mathrm{x}}{60}$ |

Let

One hour is equivalent to 3600 seconds.

So, the function rule is

Correct answer : (2)