Vocab
A comparison of two quantities using division is called a ______.
A car travels 180 miles in 3 hours. What is the unit rate?
60 mi/hr
A smoothie recipe uses 3 cups of strawberries for every 5 cups of yogurt. If you use 20 cups of yogurt, how many cups of strawberries will you need?
12 cups
Which is greater: $5.40 for 3 items or $8.40 for 5 items?
$8.40 for 5 items
A rate that compares a quantity to 1 unit is called a ______.
Unit Rate
A runner travels 7.5 miles in 60 minutes. What is the runner's rate in miles per minute?
0.125 mi/min OR 1/8 mi per minute
A map uses a scale of 1 inch = 18 miles. Two cities are 7.5 inches apart on the map. How far apart are the cities in real life?
135 miles
A student says the ratio 12:18 is equivalent to 2:3 because both numbers were decreased by 10. Is the student correct? Explain.
No. You cannot subtract the same amount from both quantities and preserve a ratio.
12:18=2:3 because both numbers are divided by 6.
Two equal ratios are called a ______.
Proportion
A store sells 8 notebooks for $14.40. What is the price of one notebook?
$1.80 per book
A school prints 240 flyers in 8 minutes. At this same rate, how many flyers can the printer produce in 15 minutes?
450 flyers
A recipe calls for 2.5 cups of flour to make 10 muffins. How much flour is needed for 28 muffins?
7 cups
A proportional relationship can be represented by a graph, equation, or ______.
Table
A cyclist travels 18 miles in 45 minutes. At the same rate, how far will the cyclist travel in 2.5 hours?
60 miles
A basketball player makes 18 out of every 30 free throws she attempts. If she attempts 75 free throws during practice, how many would you expect her to make at the same rate?
45 free throws
Two phones are advertised. Phone A costs $720 and lasts 24 hours. Phone B costs $560 and lasts 16 hours. Which phone has the lower cost per hour of battery life?
Phone A
In a proportional relationship, the constant of proportionality is represented by...
y/x
If Johnny can read 63.5 pages per 20 minutes, how many pages can he read in 3 hours?
571.5 pages.
The ratio of boys to girls in an accelerated math class is 3:5. If there are 15 boys in the class, how many total students are in the class?
40 students
A recipe calls for flour and sugar in a ratio of 5:2. A baker accidentally uses 18 cups of flour.
How much sugar should the baker use to maintain the correct ratio?
7.2 cups