Unit Rates
What is a unit rate?
a ratio that compares two different quantities, with the denominator always being one
Two students walk to school:
• Ava walks 1 mile in 20 minutes
• Noah walks 1 mile in 18 minutes
Who is walking faster?
Noah
100
53% as a fraction
53/100
100/100 is equal to what percent?
100%
Give an example of a unit rate.
Answers may vary. One quantity has to be equal to one.
Which is the better buy?
• Brand A: 4 granola bars for $6
• Brand B: 6 granola bars for $10
Brand A is the better buy.
A.- $1.50 per bar
B- $1.67 per bar
What is 25% of 80?
20
.40 as a fraction
40/100
A car travels 180 miles in 3 hours. Its average speed in miles per hour.
60 miles per hour
Carlos runs 3 miles in 24 minutes. How many minutes per mile does Carlos run?
8 minutes per mile
Dexter sells 36 vehicles in 4 weeks. Zoe sells 56 vehicles in 7 weeks. Who sells the most cars per week?
Dexter
12 is 30% of what number?
40
.15 as a percent
15%
8 cans of soda cost $10. What is the price per can?
$1.25 per can
Chase gets paid $300 for 5 days of work, how much does he get paid for 24 days of work?
$1440 for 24 days
At the grocery store Brand A cereal contains 12 oz for $3.00. Brand B cereal is 18 oz for $4.20. Which cereal has the lower cost per ounce?
Brand B
Juliet is saving for a bike that cost $300. So far she has saved 60% of the money. How much money has she saved?
$180
45/100 as a decimal
.45
A shirt originally costs $40. It is on sale for 20% off. How much is the discount?
$8
A car uses 18 gallons of gas to travel 432 miles.
What is the unit rate in miles per gallon?
24 miles per gallon
Two animals are running:
• Cheetah: 360 meters in 6 seconds
• Greyhound: 250 meters in 5 seconds
Which animal is faster?
Cheetah
cheetah- 60mps
greyhound- 50mps
Parker has hiked 6 trails in a state park. A park ranger tells him he has hiked 25% of the trails. How many trails are there to hike in the state park?
24 trails
3/4 as a percent
75%
After the Elcharro dinner rush, there were 175 dishes in the sink. Zane washed 60% of the dishes and Kinsley washed 40% of the dishes. How many dishes did each of them wash?
Zane washed 105 and Kinsley washed 70.