6.RP.2 Unit Rate
A car travels 180 miles in 3 hours. What is the unit rate in miles per hour?
60 miles per hour
Complete the table of equivalent ratios:
Cups of Juice Cups of Water
2 4
4
6
8
12
A snack mix uses a ratio of 2 cups of peanuts to 3 cups of pretzels. If you use 8 cups of peanuts, how many cups of pretzels do you need?
12 cups pretzels
Independent is on the x-axis, and dependent in on the y-axis.
A bottle holds 2 liters of water. Use the conversion 1 liter ≈ 1.06 quarts. How many quarts are in 2 liters?
Answer:
2×1.06=2.12
So, about 2.12 quarts
A bike travels 24 miles in 2 hours. What is the unit rate in miles per hour?
12 miles per hour
A ratio of red to blue marbles is 3:5. Complete the table:
Red Marbles Blue Marbles
3 5
6
9
10
15
A car travels 45 miles in 3 hours. How far will it travel in 6 hours at the same rate?
90 miles
A movie streaming service costs $5 per month. Let m be the number of months and c be the total cost.
Equation: c = 5m
A person runs 5 miles. Use the conversion 1 mile ≈ 1.6 kilometers. How many kilometers did they run?
Answer:
5×1.6=8 kilometers
So, 8 kilometers
You pay $12 for 4 notebooks. What is the unit price per notebook?
Complete the table and then plot the points:
Number of Tickets Total Cost ($)
1 7
2
4
14
28
see graph
A recipe uses 3 cups of flour to make 9 cookies. How many cups of flour are needed to make 15 cookies?
5 cups of flour
A store sells pencils for $0.50 each. Let p be the number of pencils and c be the total cost.
Equation: c=0.50p
c is the DEPENDENT variable because the total cost depends on the number of pencils purchased.
A recipe calls for 16 ounces of milk. Use the conversion 1 cup = 8 ounces. How many cups of milk are needed?
Answer:
16÷8=2 cups
So, 2 cups
A faucet fills 15 gallons of water in 5 minutes. What is the rate in gallons per minute?
3 gallons per minute
A recipe uses 2 cups of rice for every 3 cups of water. Fill in the missing values:
Rice (cups) Water (cups)
2 3
4
6
6
9
At a fair, 4 tickets cost $10. How much do 12 tickets cost?
$30
A parking garage charges $2 per hour. Let h be hours parked and c be total cost.
Equation: c=2h
For 6 hours: c=2(6)=12
Cost = $12
A classroom is 10 feet long. Use the conversion 1 foot ≈ 0.3 meters. What is the length in meters?
Answer:
10×0.3=3 meters
So, about 3 meters
At a grocery store, 6 apples cost $3. What is the unit price per apple?
$.50 per apple
Graph the ratio of 4 boys to 5 girls. Include 3 points.
see graph
A runner jogs 2 miles in 20 minutes. How far will the runner jog in 50 minutes at the same rate?
5 miles
A plant grows 4 inches each week. Let w be weeks and h be the height grown.
Equation: h=4w
Ordered pairs: (1, 4), (2, 8), (3, 12)
A water bottle holds 750 milliliters. Use the conversion 1 liter = 1000 milliliters and 1 liter ≈ 1.06 quarts. How many quarts is the bottle?
Answer:
750÷1000=0.75 liters
0.75×1.06=0.795 quarts
So, about 0.80 quarts