Vocabulary
Ratios
Rates
Proportions
World Problems
100
the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
ratio
100
A McFlurry recipe calls for 1/4 cup of Oreo’s and 5/6 cup of  vanilla.  If you had a total of 10 cups of vanilla, at this same  ratio, how many cups of Oreo’s would you need? 
3 cups of oreos
100
An object travels 5 ft in 8 min How many ft will it travel in 20 min ?
12.5
100
1: 3 = 1 2/3: x. The value of x is?
5
100
It takes 4 men 6 hours to repair a road. How long will it take 7 men to do the job if they work at the same rate?
3 3/7
200
the numbers or measurements being compared are called the terms of the ratio. Its a special ratio in which the two terms are in different units
rate
200
While preparing for a marathon, a runner determined that he could run 1/6 of a mile in 4/5 of a minute.  If the runner ran  for 1 mile how many minutes would it take? (in decimal form)
4.80 or 4.8
200
Amy drove to her mother’s house, which is 204 miles away. If it took her 3 hours, what was her average speed?
68
200
What number has a 5:1 ratio to the number 10?
50
200
Suppose that y is inversely proportional to x and that y = 8 when x = 3. Calculate the value of y when x = 10.
2 2/5
300
the numbers or measurements being compared are called the terms of the ratio. Its a special ratio in which the two terms are in different units
Proportion
300
A boa constrictor slithers 2/6 kilometers in 4/5 hours. What is the distance the boa constrictor travels in 16 hours? Decimal form
2.66 or 2.66667
300
Four gallons of gasoline cost $16.80. What is the price per gallon?
$4.20
300
If a: b = 7: 5, b: c = 9: 11, find a: b: c?
63: 45: 55
300
In a mixture 60 liters, the ratio of milk and water 2:12:1. If the this ratio is to be 1:21:2, then the quantity of water to be further added is:
60 liters
400
constant of poroportionallity
A term to express the constant increase or decrease of both quantities in a rate. The constant value of the ratio of two proportional quantities x and y; usually written y = kx, where k is the factor of proportionality.
400
A faucet fills a 5/7 liter tub in 2/6 minutes. How many liters  does it fill per minute?(decimal form)
2.14
400
A T-shirt launcher can launch 5 shirts in 20 minutes. What is the rate in shirts per hour?
15
400
If a: b = 3:4, b:c = 7:9, c:d = 5:7, find a:d?
5/12
400
Ed drives from Jefferson to Holden, a distance of 250 miles. He then travels on to Paxton, which is 50 miles from Holden. If it takes him 5 hours to complete the entire trip, how fast is he traveling if he is traveling at a constant speed?
60
500
Method for solving a proportion where you multiply the numerator of one ratio by the denominator of the other ratio
cross multiplication
500
A smoothie recipe calls for 1/4 cup of bananas and 1/6 cup of strawberries.  If you had a total of 3 1/3 cups of fruit, at this same ratio, how many cups of bananas and strawberries  would you need?
2 cups of banana and 1 and 1/3 cups of strawberries
500
Ashley needs to ride her bike to her friend’s house 96 miles away. She is riding at an average rate of 15 miles per hour. She has 6 hours to get there. Will she make it?
No
500
The inverse ratio of 3: 2: 1 is?
2:3:6
500
Pat wants to enter a typing contest. In order to enter, one has to be able to type 50 words per minute. Pat took 15 seconds to type 10 words. Can he enter the contest? 10
no
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