Rates and Unit Rates
Comparing quantities and finding cost, speed, and other rates per 1 unit
Rates and Unit Rates
Comparing quantities and finding cost, speed, and other rates per 1 unit
Math - Grade 6-8
- 1
A runner travels 12 miles in 3 hours. What is the runner's unit rate in miles per hour?
Divide the number of miles by the number of hours.
The runner's unit rate is 4 miles per hour because 12 divided by 3 equals 4. - 2
A pack of 6 notebooks costs $9.00. What is the cost per notebook?
The cost per notebook is $1.50 because $9.00 divided by 6 equals $1.50. - 3
A printer prints 45 pages in 5 minutes. How many pages does it print per minute?
A unit rate means the amount for 1 unit of time.
The printer prints 9 pages per minute because 45 divided by 5 equals 9. - 4
Store A sells 8 pencils for $2.40. Store B sells 12 pencils for $3.00. Which store has the lower price per pencil?
Find the cost per 1 pencil for each store before comparing.
Store B has the lower price per pencil. Store A costs $0.30 per pencil because $2.40 divided by 8 equals $0.30. Store B costs $0.25 per pencil because $3.00 divided by 12 equals $0.25. - 5
A car uses 10 gallons of gas to travel 320 miles. What is the car's fuel efficiency in miles per gallon?
The car's fuel efficiency is 32 miles per gallon because 320 divided by 10 equals 32. - 6
A recipe uses 3 cups of flour to make 24 cookies. At this rate, how many cookies can be made with 1 cup of flour?
Divide the number of cookies by the number of cups of flour.
The recipe makes 8 cookies per cup of flour because 24 divided by 3 equals 8. - 7
Lena earns $48 for working 6 hours. If she is paid at the same rate, how much does she earn in 10 hours?
Lena earns $80 in 10 hours. Her hourly rate is $8 per hour because $48 divided by 6 equals $8, and $8 times 10 equals $80. - 8
A bicyclist rides 18 miles in 1.5 hours. What is the bicyclist's speed in miles per hour?
You can divide by 1.5, or multiply both numbers by 2 to compare 36 miles in 3 hours.
The bicyclist's speed is 12 miles per hour because 18 divided by 1.5 equals 12. - 9
A 20-ounce bottle of juice costs $2.60. A 32-ounce bottle of the same juice costs $3.84. Which bottle has the lower cost per ounce?
The 32-ounce bottle has the lower cost per ounce. The 20-ounce bottle costs $0.13 per ounce because $2.60 divided by 20 equals $0.13. The 32-ounce bottle costs $0.12 per ounce because $3.84 divided by 32 equals $0.12. - 10
A classroom has 28 students and 4 teachers. Write the rate of students to teachers, then find the number of students per teacher.
Students per teacher means students for 1 teacher.
The rate is 28 students to 4 teachers. The unit rate is 7 students per teacher because 28 divided by 4 equals 7. - 11
A faucet fills 15 gallons of water in 6 minutes. How many gallons does it fill per minute?
The faucet fills 2.5 gallons per minute because 15 divided by 6 equals 2.5. - 12
A movie download uses 1,200 megabytes in 4 minutes. At this rate, how many megabytes are used in 7 minutes?
First find the number of megabytes used in 1 minute.
The download uses 2,100 megabytes in 7 minutes. The unit rate is 300 megabytes per minute because 1,200 divided by 4 equals 300, and 300 times 7 equals 2,100.