Name _______________________________________ Date __________________ Class __________________
Coordinate Algebra – 12 Block
8.3 Problem Solving
Writing Functions
Identify the independent and dependent variables. Write a rule in
function notation for each situation.
1. Each state receives electoral votes
based on the number of representatives
it has in the House of Representatives.
Representatives
2
4
6
8
Electoral Votes
4
6
8
10
2. Terry has 30 pieces of gum and
gives 2 pieces to each of his
friends.
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3. Ronaldo is buying bacon that costs
$4.29 per pound.
4. A personal trainer charges $50 for the
first session and $40 for every session
thereafter.
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________________________________________
________________________________________
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International travel and business require the conversion of American
dollars into foreign currency. During part of 2005, one American
dollar was worth 6 Croatian Kuna. Select the best answer.
5.An American bank wishes to convert
d dollars into kuna. Which function
rule describes the situation?
d
6
A f(d)
C f(d)
6
d
B f(d) 6d
D f(d) d 6
7. Macon has $100 and is thinking
about converting some of it into
kuna. What is a reasonable range
for this situation?
A 0 y 6
C 0 y 100
B 0 y 16.7
D 0 y 600
8. Robin converts x dollars into y kuna.
Which expression is the independent
variable in this situation?
F x
H 6x
G y
J 6y
6. A Croatian company already has
$100,000 and is going to convert k kuna
into dollars. Which function rule can be
used to determine the total amount
of American dollars this company will
have?
F f(x) 100,000 6k
k
G f(x) 100,000
6
H f(x) 100,000k 6
6
J f(x) 100,000
k
9. Jakov converts n kuna into c dollars.
Which expression is the dependent
variable in this situation?
n
A n
C
6
c
B c
D
6
© Houghton Mifflin Harcourt Publishing Company
Holt McDougal Coordinate Algebra
Name _______________________________________ Date __________________ Class __________________
3.For each value of C there is exactly 1 value
for F.
4. 77; 14; 64.4; 30
6. 15; 25; 20; 26
5. C
5
(F
9
GRAPHING FUNCTIONS
Practice A
32)
1.
2
3
7. Yes; for each value of F, there is exactly
one value of C.
8. The result is the original 35.
9. There is no temperature equivalent in
both systems.
Problem Solving
1. I: number of representatives; D: number
of electoral votes; f(r) r 2
2. I: number of friends; D: pieces of gum
Terry has left f(x) 30 2x
x
y
x
2
(x, y)
2
y
2
2
( 2, 0)
3. I: pounds of bacon; D: total price;
f(b) 4.29b
1
y
1
2
( 1, 1)
0
y
0
2
(0, 2)
1
y
1
2
(1, 3)
2
y
2
2
(2, 4)
4. I: number of sessions; D: total cost;
f(s) 50 40(s 1)
5. B
6. G
7. D
8. F
2.
9. B
Reading Strategies
1. dependent; independent
2. f(x)
4x
3. D: {1, 2, 3, 4, 5}
4. R: {4, 8, 12, 16, 20}
5. 12 ribbons
6. 20 ribbons
y
x
4
2
0
2
4
y
y
y
y
y
x2
2
(x, y)
( 4)
2
2
( 4, 8)
( 2)
2
2
( 2, 2)
(0)
2
2
(0, 0)
(2)
2
2
(2, 2)
(4)
2
2
(4, 8)
© Houghton Mifflin Harcourt Publishing Company
Holt McDougal Coordinate Algebra