Name Date Class s1

Name Date Class

Problem Solving

Writing Functions

Identify the independent and dependent variables. Write a rule in function notation for each situation.

Holt McDougal Coordinate Algebra

Name Date Class

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

3. Ronaldo is buying bacon that costs
$4.29 per pound.

2. Terry has 30 pieces of gum and
gives 2 pieces to each of his
friends.

4. A personal trainer charges $50 for the first session and $40 for every session thereafter.

Holt McDougal Coordinate Algebra

Name Date Class

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.

Holt McDougal Coordinate Algebra

Name Date Class

Holt McDougal Coordinate Algebra

Name Date Class

5. An American bank wishes to convert
d dollars into kuna. Which function
rule describes the situation?

A f(d) = C f(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

G f(x) = 100,000 +

H f(x) = 100,000k + 6

J f(x) = 100,000 +

9. Jakov converts n kuna into c dollars. Which expression is the dependent variable in this situation?

A n C

B c D

3. For each value of C there is exactly 1 value for F.

4. 77; 14; 64.4; 30 5. C = (F - 32)

6. 15; 25; -20; 26

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

3. I: pounds of bacon; D: total price;
f(b) = 4.29b

4. I: number of sessions; D: total cost;
f(s) = 50 + 40(s - 1)

5. B 6. G

7. D 8. F

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

Graphing Functions

Practice A

x / y = x + 2 / (x, y)
-2 / y = -2 + 2 / (-2, 0)
-1 / y = -1 + 2 / (-1, 1)
0 / y = 0 + 2 / (0, 2)
1 / y = 1 + 2 / (1, 3)
2 / y = 2 + 2 / (2, 4)

x / y = x2 ¸ 2 / (x, y)
-4 / y = (-4)2 ¸ 2 / (-4, 8)
-2 / y = (-2)2 ¸ 2 / (-2, 2)
0 / y = (0)2 ¸ 2 / (0, 0)
2 / y = (2)2 ¸ 2 / (2, 2)
4 / y = (4)2 ¸ 2 / (4, 8)

Holt McDougal Coordinate Algebra