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