Ratios and Rates
Simplify 24:36
What is 2:3
True or False: The ratios form a proportion (show your work) 2.5 to 4, 7 to 11.2
What is TRUE
Solve the proportion 3/2 = x/8
What is x = 12
Solve the proportion using the following table:
Water: 1/2 C 1C
Glue: 1/2 C x
What is 1C
1/2 / 1/2 = 1 / x
1/2 = 1/2 x
x = 1 C
Find the unit rate: 64 miles in 4 hours
What is 16 mph
Write as a proportion: Test is worth 80 points; test score of 75%
What is x/80 = 75/100
Solve the proportion: 21/24 = x/8
What is x = 7
Solve the proportion: 1.61/1 = x/100
What is x = 161
Use the table to find the unit rate of floors per building
Buidings: 0 1 2 3
Floors: 0 12 24 36
What is 12 floors/building
Use the Table to write a proportion for Hits to At Bats
June July
Hits: 20 29
At Bats: 34 x
What is d. 20/34 = 29/x
or: 29/x = 20/34
You can buy 3 T-Shirts for $24. What is the cost of buying 7 T-shirts?
What is $24/3 = $8/shirt,
$8 (7) = $56
c = $56
Solve the proportion: M/8 = 15/24
8 x 3= 24
15/3=5
x=5
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
Solve the proportion: x/6 = 14/42
What is x = 2
Your friend tells you she paid $19.50 for 6 party bags. How much will it cost you to buy 9 party bags?
What is $19.50/6 = $3.25,
$3.25(9)= $29.25
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.
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
Tell whether x and y are in a proportional relationship.
x -2 0 4
y -4 0 8
yes. The constant of proportionality is 2 and the graph of the line goes through the origin.
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
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