NAME _____________________________________________ DATE __________________ PERIOD _________
Lesson 6 Homework Practice
Equivalent Ratios
Determine if each pair of ratios or rates are equivalent. Explain your reasoning.
1. 18 vocabulary words learned in 2 hours; 27 vocabulary words learned in 3 hours
18 words
27 words
Yes; the ratios share the same unit rate. −−−−−−
= −−−−−−
2 hours
3 hours
2. $15 for 5 pairs of socks; $25 for 10 pairs of socks
$15
$3
No; the ratios do not share the same unit rate. −−−− = −−−−
5 pairs
1 pair
$25
$2.50
and −−−−− = −−−−
10 pairs
1 pair
3. 20 out of 45 students attended the concert; 12 out of 25 students
attended the concert
20
12
No; −−
and −−
are not equivalent.
45
25
4. 78 correct answers out of 100 test questions; 39 correct answers
out of 50 test questions Yes; the fractions are equivalent.
78 correct answers
39 correct answers
−−−−−−−−−−−
= −−−−−−−−−−−
100 questions
50 questions
5. 15 minutes to drive 21 miles; 25 minutes to drive 35 miles
35 miles
21 miles
= −−−−−−−
Yes; the fractions are equivalent. −−−−−−−
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15 minutes
ANIMALS For Exercises 6–8, refer to the table
on lengths of some animals with long tails.
Determine if each pair of animals has the
same ratio of body length to tail length.
Explain your reasoning.
6. brown rat and opossum
Yes; the ratios form equivalent
240 mm
480 mm
fractions. −−−−−
= −−−−−
180 mm
7. hamster and lemming
25 minutes
Animal Lengths (mm)
Animal
Head & Body Tail
Brown Rat
240
180
Hamster
250
50
Lemming
125
25
Opossum
480
360
Prairie Dog
280
40
360 mm
Yes; the ratios
5 mm head & body
1 mm tail
have the same unit rate, −−−−−−−−−−− .
4
No; the ratio for the opossum is −
, but
3
7
the ratio for the prairie dog is −. These are not equivalent fractions.
8. opossum and prairie dog
1
Course 1 • Chapter 1 Ratios and Rates
13