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Quiz 6B Review Ratio, Unit Rate, and Conversion Factors Solve each proportion. Show your algebraic steps. a = 4 6 8 8a = 24 8 8 a=3 56 = a 7 2 7a = 112 7 7 a = 16 Write a proportion. Show your algebraic steps. Tim can type 320 words in 2.5 minutes. Typing at the same rate, how many data items can he input in 8 minutes? ◦ 320 = x 2.5 8 2.5x = 2560 2.5 2.5 X = 1024 words in 8 minutes. Write a proportion. Show your algebraic steps. The height of a tree on a scale drawing is 6.5 in. The scale factor is 1:8. What is the actual height of the tree? ◦ 6.5 = 1 x 8 x = 52 The actual height of the tree is 52 inches. Write a proportion. Show your algebraic steps. A picture is 200 in. long and 510 in. tall. The photographer is going to scale the picture so it is 800 in. long. To the nearest in., how tall is the new picture? ◦ 200 = 800 510 x 200x = 408000 200 200 The height of the picture would be 2040 in. tall. If two cities are 15 inches apart on a map and in real dimensions they are 250 miles apart, what is the scale of the map? ◦ 15in = 250 miles 3in . 50 miles If two towns are 2 inches apart on a map and in real dimensions they are 10 miles apart, what is the scale of the map? ◦ 2in = 10 miles 1in . 5 miles What scale factor was used to build a 10 in. model of a 80 ft statue? ◦ 10in 80 ft . 1ft . = 10 = 12 in. 960 1 96 1 = 12 4.5 w W = 54 in. 24 cm 12 cm 1 = 24 4.5 L L = 108 in. 1 cm = 4.5 in 1 = 18 8.5 w W = 153 in. 28 cm 18 cm 1 = 28 8.5 L L = 238 in. 1 cm = 8.5 in The Cheetah can run at a top speed of 450 miles per hour. How many feet per second is this? ◦ 450mi . 1hr . = 450mi . 5280 ft=2376000ft = 1hr 3,600sec 3,600sec 1mi 3600sec 660ft/1sec The ape can swing at a top speed of 50 miles per hour. How many feet per second is this? ◦ 50mi . 1hr . = 50mi . 2500 ft= 125000ft = 1hr 3,600sec 3,600sec 1mi 3600sec 34.72ft/1sec Dennis paid $276.25 for 3 tickets to see the Phillies. Express this as a unit rate. ◦ $276.25 = $92.08 3 tickets 1 ticket A 84-oz container of soda costs $4.72. At what price should a 144-oz container be sold in order for the unit rate for both containers to be the same? ◦ $4.72 = $.06 84 oz 1 oz $.06 x 144 oz = $8.64