Download Ch - Cobb Learning

Name _______________________________________ Date ___________________ Class __________________
Problem Solving
Rates, Ratios, and Proportions
Write the correct answer.
1. A donut shop bakes 4 dozen donuts
every 18 minutes. Find the unit rate to
the nearest hundredth.
________________________________________
3. The birth rate in Namibia is 35 babies to
every 1000 people. In 2001, the country
had a population of about 1,800,000
people. How many babies were there?
________________________________________
2. At one time, the ratio of in-state to
out-of-state tuition at Texas A & M
University in College Station, Texas
was about 3:11. About how much was
the out-of-state tuition if the in-state
tuition at that time was about $2400?
________________________________________
4. A boat travels 160 miles in 5 hours.
What is its speed in miles per minute?
________________________________________
Use the table below to answer questions 5–8. Select the best answer.
The table shows the ratio of female to male students at various
institutions in 2002.
5. If there are 209 women at the US Naval
Academy, how many men are there?
A 11
C 3971
B 190
D 4180
6. If there are 7282 male students at the
Georgia Institute of Technology, how
many females are there?
F 2427
H 8282
G 2974
J 17,828
7. If there are 4959 male students at
Baylor University, which proportion can
be used to find the number of female
students?
A
21
x

4959
21
C
21
x

29
4959
B
21
x

29
4959
D
29
x

21
4959
Institution
female:male
Massachusetts Institute of
Technology
41:59
Tulane University
53:47
US Naval Academy
1:19
Georgia Institute of
Technology
29:71
University of
Massachusetts at Amherst
51:49
Baylor University
29:21
8. For which institution is the ratio of
female to male students the greatest?
F Baylor University
G Tulane University
H University of Massachusetts at
Amherst
J US Naval Academy
© Houghton Mifflin Harcourt Publishing Company
Holt McDougal Coordinate Algebra
Name _______________________________________ Date ___________________ Class __________________
APPLICATIONS OF PROPORTIONS
Review for Mastery
1.
3
1
2.
1
100
8
3.
1
4.
Practice A
1. 4
3.
1000 m 3,391,100
;
; 40,612
83.5
1 km
2. 28
5
4

; 15 feet
x
12
4. width  4 cm; length  12 cm
1
2
5. 320 c/min
6. x  2.5
5.
7. k  3
8. a  10.75
6. 16 cm; 32 cm;
9. y  30
12 cm2; 48 cm2
Challenge
7.
1. bc: 7 • 15  105; ad: 5 • 21  105
bd
2. a. Multiply each side by
ac
b. Cross-Product Property;
Multiplication Property of Equality;
Identity Property of Multiplication
a
c
3.

b
d
ad  bc
8. They are the same. 9.
1
4
10. The ratio of the areas is the square of
the ratio in problem 5.
Practice B
1. 15
3.
 1 
 1 
 ab  ad   ab  bc




d
c

b
a
1
2
2. 3.2
4
5.5

; 27.5 feet
20
x
4. The ratio of the volumes is the cube of
the ratio of the corresponding sides.
5.
Cross-Product Property;
Multiplication Property of Equality;
Identity Property of Multiplication
Problem Solving
Practice C
1. 7.5
3.
1. 2.67 donuts/minute
2. $8800
3. 63,000 babies
4. 0.53 mi/min
5. C
6. G
7. D
8. F
1
2
2. 6
5.5
1.375

; 44 feet
x
11
4. 3
5.
1
4
Review for Mastery
1. 15.6 ft
Reading Strategies
2. 6.125 cm
16 oz
1 lb
1.
or
1 lb
16 oz
3. 5; 25; (5) 3  125
2. no; the second quality is not 1.
4.
2 2
;
3  3 
5.
1000
10 10 10  10 
;
;
;   
343
7
7
7  7 
3. The two quantities are equal.

4 8
;
9 27
3
4. ratio; rate; ratio
5. 28 pg/hr
6. Possible answer:
2
1 12

2 24
© Houghton Mifflin Harcourt Publishing Company
Holt McDougal Coordinate Algebra