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Function Rule Worksheet

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


Solution:

Let, x be the amount of his sales

Let, f(x) be his total earnings, a function of his sales.

Total earnings = 425 + 4% of his monthly sales.
[In words.]

f(x) = 425 + 0.04(x)
[Substitute the value of his monthly sales.]

f(4000) = 425 + 0.04(4000)
[Replace x with 4000 to get his earnings in a month.]

= 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 + 0.7x
b.
f(x) = 24 + 70x
c.
f(x) = 24 + 7.0x
d.
None of the above


Solution:

Let x be the number of calls made in a month.

Let f(x) be the total monthly bill.

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

f(x) = 24 + 0.7(x)
[Substitute the values.]

The function rule for total monthly bill is f(x) = 24 + 0.7x.


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


Solution:

Let f(x) be the amount charged for a book, x days overdue.

The amount charged for the book x days overdue = 0.7x
[Write the variable expression.]

f(x) = 0.7x
[Write the function rule.]

f(16) = 0.7(16)
[Substitute 16 for x to find the amount for the book, 16 days overdue.]

= 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) = 0.5x
b.
f(x) = 1.5x
c.
f(x) = 4x
d.
f(x) = 2x


Solution:

Let x be the number of quarts.

Let f(x) be the number of pints to x quarts.

x quarts is equivalent to 2x pints.
[1 quart = 2 pints.]

The function rule is f(x) = 2x.


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) = 32x
b.
f(x) = 16x
c.
f(x) = 0.03125x
d.
None of the above


Solution:

Let x be the number of quarts.

Let f(x) be the number of fluid ounces to x quarts.

One quart is equivalent to 32 fluid ounces.

x quarts is equivalent to 32x ounces

So, the function rule is f(x) = 32x.


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) = 50x
b.
f(x) = 0.01x
c.
f(x) = 100x
d.
None of the above


Solution:

Let x be the number of meters.

Let f(x) be the number of centimeters to x meters.

One meter is equivalent to 100 centimeters.

x meters is equivalent to 100x centimeters

So, the function rule is f(x)= 100x.


Correct answer : (3)
 7.  
Which of the following function rules describes the number of yards as function of number of miles?
a.
f(x) = 240x
b.
f(x) = 1760x
c.
f(x) = 800x
d.
None of the above


Solution:

Let x be the number of miles.

Let f(x) be the number of yards to x miles.

One mile is equivalent to 1760 yards.

x miles is equivalent to 1760x yards.

So, the function rule is f(x) = 1760x.


Correct answer : (2)
 8.  
Which of the following function rules describes the number of grams as function of number of kilograms?
a.
f(x) = x 1000
b.
f(x) = 2640x
c.
f(x) = 1000x
d.
None of the above


Solution:

Let x be the number of kilograms.

Let f(x) be the number of grams to x kilograms

One kilogram is equivalent to 1000 grams.

x kilograms is equivalent to 1000x grams
[words.]

f(x) = 1000x
[Rule.]

The function rule is f(x) = 1000x.


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) = x 4
b.
f(x) = 4x
c.
f(x) = 2x
d.
None of the above


Solution:

Let x be the number of gallons.

Let f(x) be the function describing the number of quarts to x gallons.

One gallon is equivalent to 4 quarts.

x gallons is equivalent to 4x quarts.

The function rule is f(x) = 4x.


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) = 60x
b.
f(x) = 3600x
c.
f(x) = x 3600
d.
f(x) = x 60


Solution:

Let x be the number of hours.

Let f(x) be the function describing the number of seconds to x hours.

One hour is equivalent to 3600 seconds.

x hours is equivalent to 3600x seconds.

So, the function rule is f(x) = 3600x.


Correct answer : (2)

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