NAME DATE PERIOD Lesson 6 Homework Practice

[Pages:1]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

Yes; the ratios share the same unit rate. -18-w-o-r-d-s = -27--w-or-d-s

2 hours 3 hours

2. $15 for 5 pairs of socks; $25 for 10 pairs of socks

No; the ratios do not share the same unit rate. --$1-5- = --$-3 -

and --$-25-- = -$-2.-50-

5 pairs 1 pair

10 pairs 1 pair

3. 20 out of 45 students attended the concert; 12 out of 25 students

attended the concert No; -20- and -12- 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-c-o-rr-ec-t -an-s-w-er-s = -39-c-o-rr-ec-t -an-s-w-er-s

100 questions

50 questions

5. 15 minutes to drive 21 miles; 25 minutes to drive 35 miles

Yes; the fractions are equivalent. -2-1-m-i-le-s- = --35-m-i-le-s-

15 minutes 25 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 fractions. -24-0-m-m- = -48-0-m-m-

180 mm 360 mm

Animal Lengths (mm)

Animal Head & Body Tail

Brown Rat

240

180

Hamster

250

50

Lemming

125

25

Opossum

480

360

Prairie Dog

280

40

7. hamster and lemming Yes; the ratios

5 mm head & body

have the same unit rate, ---1-m-m--ta-il---.

8.

opossum and prairie dog No; the the ratio for the prairie dog is

ratio for the opossum is -4, but

-7 .

These

are

not

3

equivalent

fractions.

1

Copyright ? The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.

Course 1 ? Chapter 1 Ratios and Rates

13

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