Math 110 Sec 6.2 Proportions Name Find the unit price. (Sec 6.1) 1) $52.00 for 5 compact discs 2) $0.0 for 2 onions Find the unit price and decide which is the better buy. Round to three decimal places. Assume that we are comparing different sizes of the same brand. ) Cream Rinse: $1.2 for 21 ounces $0.80 for 12 ounces ) Definition: Proportion Proportion says that two ratios (or fractions) are. Write the sentence as a proportion. 5) 5 children is to bicycles as 5 children is to 11 bicycles. 5 children 11 children A) bicycles 5 bicycles C) 5 children bicycles children 5 bicycles B) D) 5 children 5 bicycles children 11 bicycles 5 children bicycles 5 children 11 bicycles 6) $56 is to bottles as $2 is to 28 bottles. Determine whether the proportion is true or false. 7) 10 5 2 7 8) 12 81 ) 10 15 8 12 1
10) 21 1 1.5 28.5 Write the sentence as a proportion. Then determine whether the proportion is a true proportion. 11) four is to six as eight is to twelve 12) five is to four as nine is to seven Solve the proportion for the given variable. Round the solution where indicated. 1) x 7 12 28 1) x 1 2 1 6 1 1 8 15) 1 8 72 x 16) 12 1 n 17) -6 n -0.6 2. 2
Answer Key Testname: M110 SEC 6_2 1) $10.0 per compact disc 2) $0.5 per onion ) 21 oz: $0.06 per oz ) 5) D $56 6) bottles $2 28 bottles 7) A 8) A ) A 10) A 11) 6 8 12 ; true 12) 5 7 ; false 1) 1) 15) 1 16) 1 17) 2
Math 110 Sec 6. Proportions and Problem Solving Name Solve. 1) The ratio of a quarterback's completed passes to attempted passes is 2 to. If he attempted 12 passes, find how many passes he completed. Round to the nearest whole number if necessary. 5) On an architect's blueprint, 1 inch corresponds to 12 feet. Find the length of a wall represented by a line 8 1 inches long on the blueprint. Round to the nearest tenth if necessary. 2) The ratio of a basketball player's completed free throws to attempted free throws is to. If she completed 12 free throws, find how many free throws she attempted. Round to the nearest whole number if necessary. 6) On an architect's blueprint, 1 inch corresponds to 6 feet. If an exterior wall is 21 feet long, find how long the blueprint measurement should be. Write the answer as a mixed number if necessary. ) It takes Emma 18 minutes to type and spell check 1 pages of a manuscript. Find how long it takes her to type and spell check 77 pages. Round to the nearest whole number if necessary. 7) It is recommended that there be at least 12.7 square feet of floor space in a classroom for every student in the class. Find the minimum floor space that 18 students require. Round to the nearest tenth if necessary. ) It takes Mark 8 minutes to type and spell check 6 pages. Find how many pages he can type and spell check in 0.5 hours. Round to the nearest tenth if necessary. 1
8) A bag of fertilizer covers 2500 square feet of lawn. Find how many bags of fertilizer should be purchased to cover a rectangular lawn 280 feet by 180 feet. 12) A baseball player gets 2 hits in every times at bat. At this rate, if he made 1 hits, find how many times he batted. ) The scale on a map states that 1 centimeter corresponds to 0 kilometers. On the map, two cities are 0.7 cm apart. Find the actual distance. 1) One pound of an ingredient yields 2 1 cups of the final product. How many pounds of this ingredient will be required by a recipe that yields 6 cups of the final product? 10) A punch recipe calls for mixing parts of grape juice with 5 parts of lemon juice. Find how much grape juice should be mixed with 60 ounces of lemon juice. 1) The gasoline/oil ratio for a certain leaf blower is 20 to 1. If 1 gallon equals 128 fluid ounces, how many fluid ounces of oil should be mixed with 10 gallons of gasoline? Round to the nearest fluid ounce. 11) Yearly homeowner property taxes are figured at a rate of $1.5 tax for every $100 of home value. Find the property taxes on a house valued at $27,000. 2
Answer Key Testname: M110 SEC 6_ 1) 8 passes 2) 16 free throws ) min ) 22.5 pages 5) ft 6) 1 2 in. 7) 228.6 sq ft 8) 21 bags ) 21 km 10) 6 oz 11) $.50 12) 6 times 1) 2 2 lb 1) 6 fl oz