Proportional Relationships

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Presentation transcript:

Proportional Relationships

Is your clicker working? Yes No Not Sure 1 2 3 4 5

Fastest Responders (in seconds)

Which team will win the powder puff game? Team Acosta/Zeibel Team Dupre 1 2 3 4 5

Write the ratio in simplest form.

32 min : 36 min 8 : 9 8 : 36 32 : 9 128 : 144 1 2 3 4 5

Fastest Responders (in seconds)

Marie saved $51. On Wednesday, she spent $8 of her savings Marie saved $51. On Wednesday, she spent $8 of her savings. What ratio represents the portion of her total savings that she still has left? 43 : 8 8 : 51 43 : 51 59 : 51 1 2 3 4 5

Fastest Responders (in seconds)

The price of 8. 4 ounces of crackers is $2. 42. What is the unit price The price of 8.4 ounces of crackers is $2.42. What is the unit price? Round your answer to the nearest cent. $0.15 per ounce $3.47 per ounce $28.81 per ounce $0.29 per ounce 1 2 3 4 5

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Participant Scores

Find the unit rate. Round to the nearest tenth, if necessary.

344 miles in 11 hours 344 miles/hour 3784 miles/hour 0.03 miles/hour 2 3 4 5

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In 10 months, 62.6 gallons were used. 0.16 gallons/month 10 gallons/month 6.3 gallons/month 626 gallons/month 1 2 3 4 5

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Choose an appropriate unit of measurement.

mass of a peanut kilogram milligram gram kilometer 1 2 3 4 5

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capacity of a soda can gallons pints quarts fluid ounces 1 2 3 4 5

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Janie can type 5,349 words in one hour Janie can type 5,349 words in one hour. Convert this rate to words per minute. 32,094 words per minute 320,940 words per minute 89.2 words per minute 891.5 words per minute 1 2 3 4 5

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Use dimensional analysis to convert the measure.

447 cm = ___m 4.47 44.7 44,700 4,470 1 2 3 4 5

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38 oz = ___lb 152 4.75 608 2.38 1 2 3 4 5

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Use dimensional analysis to find an equal rate Use dimensional analysis to find an equal rate. Round to the nearest hundredth, if necessary.

15 km/s = ___km/min 900 0.9 0.25 54,000 1 2 3 4 5

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$13/min = ___$/s 0.13 780 7.8 0.22 1 2 3 4 5

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Use compatible numbers to find a reasonable estimate.

68 inches is about __feet. 7 8 4 6 1 2 3 4 5

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Solve the proportion. 13 1 7 16 1 2 3 4 5

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On a recent day, one U. S. dollar was worth 0. 81 euros On a recent day, one U.S. dollar was worth 0.81 euros. If you were to exchange 222 euros, how many U.S. dollars would you receive? $89.91 $274.07 $548.15 $179.82 1 2 3 4 5

Participant Scores

A dozen apples costs $2.55. At this rate, how much would 8 apples cost? $20.40 $3.83 $0.21 $1.70 1 2 3 4 5

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Participant Scores

Solve the proportion. Where necessary, round to the nearest hundredth.

Picture 1,584 0.08 11 1 2 3 4 5

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Picture 144 0.44 1.78 36 1 2 3 4 5

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4.9 miles 10 miles 1 miles 0.7 miles Sarah’s mother has a miniature village modeled after her home town. The model is 10 feet long and 7 feet wide. The actual village is 7 miles long. What is the village’s actual width? If necessary, round to the nearest tenth of 4.9 miles 10 miles 1 miles 0.7 miles 1 2 3 4 5

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Find the value of x 187.5 in. 12 in. 30 in. 37.5 in. 1 2 3 4 5

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The scale of a map is 1 in. : 75 mi. How many actual miles does 0 The scale of a map is 1 in. : 75 mi. How many actual miles does 0.85 inch represent? 88.2 miles 63.75 miles 95.6 miles 4,781.3 miles 1 2 3 4 5

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A building casts a shadow 100 m long A building casts a shadow 100 m long. At the same time, a nearby pole 4 m high casts a shadow 8 m long. What is the height of the building? Round your answer to the nearest tenth, if nearest tenth if needed. 200 m 0.5 m 50 m 800 m 1 2 3 4 5

Fastest Responders (in seconds)

Standing next to each other, a woman who is 70 inches tall and her son cast shadows that are 47 inches and 33 inches, respectively. What is the height of the son, to the nearest inch? 47 in. 33 in. 49 in. 22 in. 1 2 3 4 5

Fastest Responders (in seconds)

The area of a square is 131 sq in The area of a square is 131 sq in. What is the approximate perimeter of the square? 45.8 in. 39.5 in. 11.4 in. 14.8 in. 1 2 3 4 5

Fastest Responders (in seconds)

The distance from Pluto’s orbit to the Sun is an average of about 3 The distance from Pluto’s orbit to the Sun is an average of about 3.7 10 miles. What is this number in standard form? 370,000,000 3,700,000,000 37,000,000,000 370,000,000,000 1 2 3 4 5

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Jada bought 2 yards of cloth that cost $3 Jada bought 2 yards of cloth that cost $3.69 per yard, 4 yards of trim that cost $4.25 per yard, and a spool of thread that cost $2.50. Which expression can be used to find the cost of her purchases? 2(3.69) + 4(4.25) + 2.50 3.69 + 4.25 + 2.50 2(3.69 + 4.25 + 2.50) (2 + 4)(3.69 + 4.25 + 2.50) 1 2 3 4 5

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The table shows the rainfall in Seattle, Washington, for 5 days in November. Find the average rainfall for these 5 days. Mon. Tues. Wed. Thur. Fri. 0.75 0.62 0.48 0.38 0.85 0.62 in. 0.77 in. 2.02 in. 3.08 in. 1 2 3 4 5

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Leader Board (4 more questions)

42 ounces 84 ounces 102 ounces 126 ounces Maria’s Picnic Punch recipe makes 252 ounces of punch and is orange juice, cranberry juice, and ginger ale. How many ounces of cranberry juice does Maria need? 42 ounces 84 ounces 102 ounces 126 ounces 1 2 3 4 5

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Zoe has 25 yards of dental floss Zoe has 25 yards of dental floss. She uses 18 inches to floss her teeth and 3 yards for a craft project. How much dental floss does Zoe have left? (There are 36 inches in 1 yard) 4 yd 12 yd 18.5 yd 21.5 yd 1 2 3 4 5

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Joshua bought 3 CDs for $17. 99 each. The sales tax was 8. 75% Joshua bought 3 CDs for $17.99 each. The sales tax was 8.75%.What is the best estimate for the amount that Joshua paid? $54.00 $60.00 $64.00 $68.00 1 2 3 4 5

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Matthew mowed 4 lawns this week and paid $4. 76 for gas Matthew mowed 4 lawns this week and paid $4.76 for gas. How much can Matthew expect to pay for gas if he mows 7 lawns this week? $5.95 $6.33 $7.20 $8.33 1 2 3 4 5

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Leader Board