Rates
Rate: a special type of ________ that compares quantities with unlike units of measure.
ratio
Unit Rate: a rate that compares a quantity to ___ unit of another quantity
1
What do you need to find so that you can compare rates?
the unit rate
Convert:
4 meters = ___ centimeters
- 100 centimeters in 1 meter
400
Constant Speed means that the ____ stays the same over time.
speed
Jenny packaged 108 eggs in 9 cartons. Write this statement as a rate.
108 eggs / 9 cartons
Find how many books read in 1 week.
91 books in 7 weeks
13 books in 1 week
Sporting Goods sells 5 basketballs for $40
Academy sells 7 basketballs for $63.
Which store has the lower price per basketball?
Sporting Goods, $8 per basketball
Convert:
5 pints = ___ cups
- 2 cups in one pint
10 cups
How are unit rates and unit prices alike, and how are they different?
They are alike because they both compare a quantity to one unit. They are different because a unit rate can compare any measurements, but a unit price only compares the cost to 1 item.
$7:5 lollipops = $63: ___ lollipops
45 lollipops
Which pay is equivalent to a rate of $16 per hour?
A. $120 for 12 hours
B. $48 for 3 hours
C. $96 for 9 hours
D. $60 for 5 hours
B. $48 for 3 hours
Which is greater?
510 visitors in 30 hours or 960 visitors in 60 hours
510 visitors in 30 hours
Convert:
2 1/2 gallons = __ quarts
- 4 quarts in 1 gallon
10 quarts
Find how many ants in 1 ant hill:
1,275 ants per 5 ant hills
255 ants in 1 ant hill
A recipe uses 3 cups of flour to make 12 cookies.
If you want to make 180 cookies, how many cups of flour will you need?
45 cups of flour
Harvest Market sells a 15 lb crate of Fuji apples for $20. What are two different unit rates that could represent the situation?
.75 pounds per $1
$1.33 per 1 pound
Which is greater?
12 laps in 8 minutes or 16 laps in 10 minutes
16 laps in 10 minutes
Is the conversion true?
18 feet = 6 yards
- 1 yard is equal to 3 feet
Yes, it is true since 6 x 3 = 18.
Which is the better value, 2 books for $15 or 6 books for $45? Explain.
They are the same, they are both $7.50 per book.
A race car drives 7 kilometers in 3 minutes. If the race car continues to travel at the same rate, how long will it take it to travel 42 kilometers?
18 minutes
Anna Maria read 40 pages in 60 minutes. What is her unit rate in minutes per page?
1.5 minutes per page
Henry's car can travel 600 feet in 20 seconds. Andrew's motorcycle travels 300 feet in 12 seconds. Which is faster, the car or the motorcycle?
car
Convert:
0.178 liters = ___ milliliters
- 1,000 milliliters in 1 liter
178 milliliters
The jet flies at a constant speed of 175 miles in 7 minutes. If the jet continues to fly at the same rate, how far could it fly in 85 minutes?
2,125 miles