A.CED.A.1.DirectVariation1a

Regents Exam Questions A.CED.A.1: Direct Variation 1a Name: ________________________ www.jmap.org 1 A.CED.A.1: Direct Variation 1a 1 In a molecule of water, there are two atoms of hydrogen and one atom of oxygen. How many atoms of hydrogen are in 28 molecules of water? 1) 14 2) 29 3) 42 4) 56 2 A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct? 1) 1.75 2) 2 3) 2.25 4) 2.5 3 The number of calories burned while jogging varies directly with the number of minutes spent jogging. If George burns 150 calories by jogging for 20 minutes, how many calories does he burn by jogging for 30 minutes? 1) 100 2) 180 3) 200 4) 225 4 If a machine that prints designs on T-shirts prints 500 shirts in 3 hours, how many hours will it take to print designs on 1,800 shirts? 1) 6 2) 9.8 3) 10.8 4) 12 5 The amount of money spent at a parking meter varies directly with the amount of time spent parked in the parking space. Noah spent $1.50 to park 90 minutes. How many minutes can he park for $4.00? 1) 667 2) 360 3) 240 4) 135 6 Jordan and Missy are standing together in the schoolyard. Jordan, who is 6 feet tall, casts a shadow that is 54 inches long. At the same time, Missy casts a shadow that is 45 inches long. How tall is Missy? 1) 38 in 2) 86.4 in 3) 5 ft 4) 5 ft 6 in 7 On a map, 1 centimeter represents 40 kilometers. How many kilometers are represented by 8 centimeters? 1) 5 2) 48 3) 280 4) 320 8 On a map, 1 inch represents 3 miles. How many miles long is a road that is 2 1 2 inches long on the map? 1) 1 2 2) 5 1 2 3) 6 1 2 4) 7 1 2

Regents Exam Questions A.CED.A.1: Direct Variation 1a Name: ________________________ www.jmap.org 2 9 The perimeter of an equilateral triangle varies directly as the length of a side. When the length of a side is doubled, the perimeter of the triangle is 1) halved 2) doubled 3) multiplied by 3 4) divided by 3 10 Granola bars cost $0.55 each. Which table represents this relationship? 1) 2) 3) 4) 11 Which table does not show an example of direct variation? 1) 2) 3) 4) 12 If x varies directly as y , and x = 8 when y = 24 , what is the value of x when y = 6 ? 1) 1 2) 2 3) 3 4) 4

ID: A 1 A.CED.A.1: Direct Variation 1a Answer Section 1 ANS: 4 REF: 010117a 2 ANS: 4 REF: 060505a 3 ANS: 4 150 20 = x 30 20 x = 4500 x = 225 REF: 081101ia 4 ANS: 3 REF: 080809a 5 ANS: 3 90 1.50 = m 4 m = 240 REF: 061602ia 6 ANS: 3 REF: 080603a

ID: A 2 7 ANS: 4 REF: 080201a 8 ANS: 4 REF: 010818a 9 ANS: 2 REF: 080101a 10 ANS: 2 REF: 010902a 11 ANS: 2 In (1), (3) and (4), the quotient of y and x remains constant at . In (2) , the product of y and x remains constant at 48. REF: 080005a 12 ANS: 2 REF: 010806a 13 ANS: 2 REF: 010708a 14 ANS: 6 2 3 . REF: 060223a 15 ANS: $178.50. REF: 010431a