Name Reteaching 13-2 Using Unit Rates A unit rate is a special ratio that compares one quantity to one unit of another quantity. You can use unit rates to solve proportions. Write a proportion. Use d for dollars earned. $100 $d ____ 5 __ 4h 7h Find the unit rate. Divide the first term by the second term. Think: Find an equal ratio with 1 as the second term. $100 4 4 5 $25 25 100 4 4 5 __ ______ $25 . The unit rate is ___ 1h Multiply by the unit rate. $25 ___ 3 7h 5 $175 h 1 444 Think: Find an equal ratio. 25 3 7 5 ___ 175 _____ 7 137 $100 $175 So, ____ 5 ____ . Geraldo will earn $175 when he works 7 hours. 4h 7h Use unit rates to solve each proportion. Estimate to check reasonableness. 4 g 30g 1. ________ 5 ____ 2 kg 15 kg 2g ___ kg Unit Rate: 200 120 mi = ________ mi 2. _____ 3 gal 5 gal 23254 $24 $ 80 ____ 5 ________ Unit Rate: Multiply: 4. 3 wk 10 wk ____ 40 mi gal 20 8 in. = ________ in. 3. ____ 2 wk 5 wk Unit Rate: ____ 4 in. wk 40355200Multiply: 435520 200 stamps 56 oz 5 ______ 900 stamps 64 oz ________ 6. ________ 5 ____________ Multiply: 5. 7 packs 8 packs 2 rows 9 rows 7. Wes used 49 quarts of oil when he changed the oil in 7 cars. Complete and solve the proportion to find how many quarts of oil he would use to change the oil in 20 cars, assuming that all cars need the same quantity of oil. 49 quarts _______ 7 cars 5 7 quarts x quarts 140 quarts ______ ______ ________ 5 5 1 car 20 cars 20 cars ; 140 quarts 8. Writing to Explain A café served 180 pickles with 60 sandwiches. If the ratio of sandwiches to pickles is always constant, explain how you can use unit rates and proportions to find how many pickles are needed to serve 32 sandwiches. 96pickles;Sampleanswer:Writeandsolvetheproportion xpickles 180pickles ______________ . __________ 5 60sandwiches 32sandwiches 28 Topic 13 © Pearson Education, Inc. 6 Reteaching 13-2 Geraldo earns $100 for 4 hours of work. If he works 7 hours at the same rate of pay, how much will he earn?
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