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Ratios, Rates, Proportions Answer Key

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Unit Rates and Rates
#1 What is the unit rate for 10 to 5? 2 or 2:1
#2 What is the unit rate for 100 to 25? 4 or 4:1
#3 What is the unit rate for 217 to 9? 24.11 or 24.11:1
#4 It takes Ms. Mertens 26 minutes to run 3 miles. What is her rate? 8.67 minutes per mile
#5 Mrs. Tobias can bake 24 cookies every half hour. What is the rate of baking cookies? 48 cookies per hour
Make the Ratios Equivalent
#1 6:10 = 18:x x=30
#2 20:x = 160:40 x=5
#3 x:12 = 2:24 x=1
#4 4:100 = x:110 x=4.4
#5 3.5:7 = 7.1:x x=14.2
Proportional Tables
#1 Look at Table #1 that Ms. Mertens is holding up. Is it proportional? How do you know? Yes it is proportional. You multiply x by 1 to get y.
#2 Look at Table #2 that Ms. Mertens is holding up. What is the constant of proportion? CP = 1/10 or 0.10
#3 Look at Table #3 that Ms. Mertens is holding up. What is the constant of proportion? CP= 4/9 or 0.44
#4 Look at Table #4 that Ms. Mertens is holding up. It is not proportional. What could you change to make it proportional? change 65 to75 OR change 15 to 13
#5 Look at Table #5 that Ms. Mertens is holding up. It is not proportional. What could you change to make it proportional? change 0 to 1/2 OR change 1 to 0
Proportional Graphs
#1 For a graph to be proportional it must __________________. (2 answers) the line must be straight and it must go through the origin
#2 Look at graph B. What is the constant of proportion? CP = 1
#3 Look at graph D. What is the constant of proportion? CP = 1/3
#4 Look at graph C. What is the constant of proportion? There isn't one. None.
#5 Look at graph D. Name a set of points that would be on the graph? (3,1) OR (6,2) OR (9,3) etc...
Equations
#1 Write an equation for table #1. y=1x or y=x
#2 Write an equation for table #2. y= 1/10 x or y=0.1x
#3 Write an equation for table #3. y= 4/9 x or y=0.44x
#4 Joe swims 30 yards in 1 minute. Find the CP and write an equation. y=1/30x
#5 Tina can grill 90 hamburgers in 2 hours. Find the CP and write an equation. y=1/45x
Final Question