Ratios and Rates
Proportions
Writing Proportions
Solving Proportions
Slope
100
Simplify 24:36
What is 2:3
100
True or False: The ratios form a proportion (show your work) 2.5 to 4, 7 to 11.2
What is TRUE
100
Solve the proportion 3/2 = x/8
What is x = 12
100
Solve the proportion table Water ½ cup 1 cup White Glue ½ cup x cup(s)
What is x = 1 cup
100
Find the slope using the points from the graph Hours, x 0 2 4 6 8 10 Earnings, y 0 10 20 30 40 50
What is slope = 10/2 = 5
200
Find the unit rate: 64 miles in 4 hours
What is 16 mph
200
Write as a proportion: Test is worth 80 points; test score of 75%
What is x/80 = 75/100
200
Solve the proportion: 21/24 = x/8
What is x = 7
200
Solve the proportion: 1.61/1 = x/100
What is x = 161
300
Use the table to find the unit rate: FLOORS per BUILDING Buildings 0 1 2 3 Floors 0 17 34 51
What is 17 floors/building
300
Use the Table to write the proportion September October Hits 18 22 At Bats 40 X
What is 18/40 = 22/x
300
You can buy 3 T-Shirts for $24. Write a proportion that gives the cost (c) of buying 7 T-shirts.
What is $24/3 = c/7, c = $56
300
Correct the error in solving the proportion: M/8 = 15/24 8 x M = 24 x 15 M = 45
What is Multiplied the wrong numbers. Correct way is 8 x 15 = M x 24, M = 5
400
At 8 P.M. a burning candle is 18 inches tall. At 10 P.M. the candle is only 6 inches tall. At what rate is the height of the candle decreasing?
What is 6 inches/hour
400
Solve the proportion: 6/x = 14/42
What is x = 18
400
Your friend tells you she paid $19.50 for 6 party bags. How much will it cost you to buy 9 party bags? Write a proportion and solve
What is $19.50/6 = x/9, x = $29.25
400
A person who weighs 120 pounds on Earth weighs 20 pounds on the Moon. How much does a 93-pound person weigh on the Moon?
What is 15.5 lbs.
500
At 3:18 P.M. you have 86 megabytes of MP3 songs. By 3:35 P.M. you have 1038 megabytes. What is the download rate in megabytes per minute?
What is 56 MB/min
500
Graph the table and tell whether x and y are in a proportional relationship. x -2 0 2 y -4 0 4
See graphs.
500
A school requires 5 computers for every 20 students. Write s proportion that gives the number (c) of computers needed for 360 students.
What is 5/20 = c/360, c = 90 computers
500
Tell whether the statement is TRUE or FALSE. EXPLAIN. If a/b = 2/3, then 3/2 = b/a
What is TRUE, both cross products give the equation 3a = 2b