Download Representing Proportional Relationships

NAME:
CLASS PERIOD:
Representing Proportional Relationships
Practice and Problem Solving: A/B
Use the table to complete Exercises 1–3.
Feet
1
3
Inches
4
6
24
60
1. The table shows the relationship between lengths in feet and lengths in
inches. Complete the table.
2. Write each pair as a ratio.
inches

feet
1
24



3
4
60


6
Each ratio is equal to _________________.
3. Let x represent feet. Let y represent inches.
An equation that describes the relationship is ___________________________.
Use the table to complete Exercises 4 and 5. Tell whether each
relationship is proportional. If it is proportional, write an equation that
describes the relationship. First define your variables.
Lemonade Recipe
Lemons
1
2
3
4
5
6
Sugar (c)
1.5
3
4.5
6
7.5
9
Water (c)
7
14
21
28
35
42
4. the ratio of lemons to cups of sugar
________________________________________________________________________________________
5. the ratio of cups of sugar to cups of water
________________________________________________________________________________________
Use the table to complete Exercise 6.
Distance Traveled Daily on a Family Road Trip
Hours
Distance (mi)
6
4.5
9
2
3.25
5.75
270
229.5
495
60
188.5
281.75
6. Is the relationship shown in the table below proportional? If so, what is
the ratio of the hours driven to miles traveled?
_____________________________________________________________________ ___________________
NAME:
CLASS PERIOD:
UNIT 2: Proportional and Nonproportional
Relationships and Functions
MODULE 3 Proportional
Relationships
LESSON 3-1
Practice and Problem Solving: A/B
1.
Feet
1
2
3
4
5
6
Inches
12
24
36
48
60
72
2. 12; 2; 36; 48; 5; 72;
12
or 12
1
y
or y  12 x
12
4. yes; let x  lemons and y  sugar; y 
1.5x or let x  sugar and y  lemons;
x
y
1.5
3. x 
5. yes; let x  sugar and y  water;
2
y  4 x or y  4.7x, or let x  water
3
3
x
x or y 
and y  sugar; y 
14
4.7
6. not a proportional relationship
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
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