Creating Rates/Ratios
Unit Rate
Comparing Rates
Proportionality
100
A snack mix has 4 cups of pretzels and 6 cups of raisins. What is the simplified ratio of pretzels to raisins?
2:3
100
A car travels 180 miles in 3 hours. What is the unit rate in miles per hour?
60 mph
100
Store A sells 3 boxes of cereal for $12. Store B sells 4 boxes of cereal for $20. Which store has the lower price per box?
Store A
100
Does the table show a proportional relationship?
Explain why or why not?
Yes, because the value for y div x for each pair equals 3.
200
A bag contains 3 red marbles and 7 blue marbles. What is the ratio of red marbles to total marbles?
3:10
200
A bakery sells a box of 12 donuts for $36. What is the unit rate in dollars per donut?
$3 per donut
200
Foodland sells 2 lbs of poke for $28. Safeway sells 3 lbs of poke for $48. Which store offers the lower price per pound, and how much do you save per pound?
Foodland, you save $2.
200
Which table is NOT proportional?
Table B, because 10 div 3 does not equal 4.
300
In a class of 28 students, 12 are boys and the rest are girls. What is the ratio of girls to total students?
16:28 or 4:7
300
A snail crawls 6 feet in 1/2 of an hour. What is its unit rate in feet per hour?
12 feet per hour
300
Hot Dog Stand A sells 3 hot dogs for $15. Hot Dog Stand B sells 6 hot dogs for $24. Which stand offers the lower price per hot dog?
Hot dog stand B
300
Does this table show a proportional relationship?
If so, what is the constant of proportionality?
Yes, k=50
400
A smoothie recipe uses 1/2 cup of strawberries for every 1/4 cup of yogurt. Write the rate of strawberries to yogurt as a fraction.
1/2/1/4
400
A printer prints 3/8 of a page in 1/4 of a minute. What is the unit rate in pages per minute?
12/8 or
1 1/2
400
Runner A runs 1/2 mile in 1/10 of an hour. Runner B runs 3/4 mile in 1/6 of an hour. Who runs at a faster speed in miles per hour?
Runner A
400
Fill in the values for y if k=10.
y = 0 , 30 , 60 , 100
500
A recipe mix requires 2 parts flour to 1 part sugar. If a baker makes a total batch of 15 cups of mixture, how many cups of flour and how many cups of sugar are needed?
10 cups of flour and 5 cups of sugar.
500
A lawn mower uses 3/5 of a gallon of gas in 0.5 hours. What is the unit rate in gallons of gas per hour?
Write your answer as a mixed number.
1 1/5
500
Painter A paints 2/3 of a wall in 1/4 of an hour. Painter B paints 4/5 of a wall in 1/3 of an hour. Who has a higher unit rate of walls painted per hour?
Painter A
500
Why is a table containing (0, 0), (1, 5), and (2, 12) not proportional?
Because 5 div 1 equals 5, but 12 div 2 equals 6.