Compare Rates
A pickup truck travels 140 miles on 7 gallons of gas. A minivan travels 160 miles on 8 gallons of gas. Which vehicle travels more miles per gallon?
Truck = 140/7 = 20 mpg
Minivan = 160/8 = 20 mpg
They are the SAME miles per gallon!
Sophia can complete 54 crossword games in 3 hours. How many crossword games does she complete per hour?
54/3 = 18 crossword games
A researcher is tracking dolphins. One of the dolphins measures 60 feet long. There are 3 feet in 1 yard. How long is the blue whale in yards?
60/3 = 20 yards
Allie spends $33 for 6 gallons of gas. Decide if each statement about this rate is true or false.
Choose True or False for each statement.
1.) For $65, Allie could fill an empty 13-gallon tank.
2.) The cost of gas is $5.50 per gallon.
1.) FALSE $5.50 x 13 = $71.50
2.) TRUE 33/6 = 5.50
What is a ratio that compares an amount to 100?
PERCENT
Camden sells 48 vehicles in 6 weeks. Kieran sells 54 vehicles in 9 weeks. Who sells more vehicles per week?
Camden = 48/6 = 8
Kieran = 54/9 = 6
CAMDEN sells MORE!
A garden hose supplies 48 gallons of water in 4 minutes. How many gallons can it supply in 9 minutes?
48/4 = 12 gallons/minute
so 12 x 9 = 108 gallons
A large cat can run 36 feet in 10 seconds. At this rate, how many feet can it run in 1 minute?
36 ft = 10 sec
10 sec x 6 = 60 sec or 1 min so
36 x 6 = 216 feet in 1 minute
Allie spends $33 for 6 gallons of gas. Decide if each statement about this rate is true or false.
Choose True or False for each statement.
1.) Allie could buy 9 gallons of gas for $50.
2.) Eight gallons of gas would cost Allie $44.00.
1.) TRUE $5.50 x 9 = $49.50
2.) TRUE $5.50 x 8 = $44
What is a ratio that compares 2 different quantities?
RATE
Jace runs a 22-mile race in 5 hours. Sarah runs a 16-mile race in 3 hours. Who runs at a slower rate?
Jace = 22/5 = 4.5
Sarah = 16/3 = 5.3
JACE runs at a SLOWER rate!
It takes Jason 6 hours to bike 33 miles. He plans to bike for 9 hours tomorrow. If he bikes at the same rate, how far will Jason bike in 9 hours?
33/6 = 5.5 miles/hour
so 5.5 miles x 9 = 49.5 miles
A 2-Liter bottle is full of water. The bottle leaks 80 milliliters of water every 3 minutes. Will the bottle be empty in 1 hour? Explain! (1 liter = 1,000 milliliters)
3 min = 80 mL (multiply both numbers by 20)
60 min = 1,600 mL
1,600/1,000 = 1.6
1,600 mL = 1.6 liters so it will NOT have leaked 2 liters yet
What is a ratio with a denominator of 1?
UNIT RATE