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Unit 5, Lesson 4

Comparing Relationships with Tables

Accelerated 6

Practice

Problem 1

Decide whether each table could represent a proportional relationship. If the relationship could be proportional, what would the constant of proportionality be?

How loud a sound is

distance from
listener (ft) sound
level (dB)

5 85

25 79

35 73

40 67
The cost of fountain drinks at Hot Dog Hut.

volume
(fl oz) cost
($)

16 1.49

20 1.59

30 1.89

distance from listener (ft)	sound level (dB)
5	85
25	79
35	73
40	67

volume (fl oz)	cost ($)
16	1.49
20	1.59
30	1.89

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A taxi service charges \$1.00 for the first $\frac{1}{10}$ mile then \$0.10 for each additional $\frac{1}{10}$ mile after that.

Fill in the table with the missing information then determine if this relationship between distance traveled and price of the trip is a proportional relationship.

distance traveled (mi)	price ($)
$\frac{9}{10}$
2
$3\frac{1}{10}$
10

Problem 3

A rabbit and turtle are in a race. Is the relationship between distance traveled and time proportional for either one? If so, write an equation that represents the relationship.

Turtle’s run:

distance (meters)	time (minutes)
108	2
405	7.5
540	10
1,768.5	32.75

Rabbit’s run:

distance (meters)	time (minutes)
800	1
900	5
1,107.5	20
1,524	32.5

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Problem 4

ForLesson 1: Proportional Relationships and Equations

For each table, answer: What is the constant of proportionality?

a	b
2	14
5	35
9	63
$\frac13$	$\frac73$

a	b
3	360
5	600
8	960
12	1440

a	b
75	3
200	8
1525	61
10	0.4

a	b
4	10
6	15
22	55
3	$7\frac12$

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Problem 5

ForLesson 10: Navigating a Table of Equivalent Ratios

Here is a table that shows the ratio of flour to water in an art paste. Complete the table with values in equivalent ratios.

cups of flour	cups of water
1	$\frac12$
4
	3
$\frac12$

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Comparing Relationships with Tables

Practice

Problem 1

Lesson 4 Resources

Problem 2

Problem 3

Problem 4

Problem 5

a	b
2	14
5	35
9	63
\(\frac13\)	\(\frac73\)

a	b
4	10
6	15
22	55
3	\(7\frac12\)