Unit Rates
A car travels 120 miles in 3 hours. What is the unit rate?
40 miles per hour
Is this relationship proportional?
x:1, 2, 3
y:4, 8, 12
Yes!
Find the missing value.
x:1, 2, 3
y:5, 10, _
15
In the equation y=4x, what is the constant of proportionality?
A bag of 4 apples costs $8. What is the cost of 1 apple?
$2 per apple
A store sells 6 notebooks for $18. What is the cost per notebook?
$3 per notebook
Is this relationship proportional?
x:2, 4, 6
y:5, 10, 15
Find the missing value.
x:2, 4, 6
y:8, 16, _
24
In the equation y=7.5x, what is the constant of proportionality?
k=7.5
A student reads 45 pages in 3 days at a constant rate. How many pages does the student read each day?
15 pages per day
A runner travels 5 miles in 40 minutes. What is the unit rate in miles per minute?
1/8 mile per minute
Is this relationship proportional?
x:1, 2, 3
y:4, 9, 14
No!
Find the constant of proportionality.
x:3, 6, 9
y:12, 24, 36
k=4
A proportional relationship has x=5 and y=20. What is the constant of proportionality?
4
A proportional relationship shows that 5 tickets cost $30. How much would 8 tickets cost?
$48 for 8 tickets
A recipe uses 3/4 cup of flour for 1/2 of a batch. As a mixed number, how many cups of flour are needed for 1 full batch?
1 and 1/2 cups of flour
A taxi charges $5 to start the ride plus $2 for every mile. Is this a proportional relationship?
No!
Is this table proportional?
x:2, 4, 8
y:6, 12, 25
What is the unit rate of x=8 and y=25
No, 3 1/8
A proportional relationship has x=8 and y=12. What is the constant of proportionality?
1 1/2
A recipe uses 2 cups of rice to make 5 servings. How many cups of rice are needed for 15 servings?
6 cups for 15 servings
A cyclist travels 5/6 mile in 1/4 hour. What is the cyclist's speed as a mixed number in miles per hour?
3 and 1/3 miles per hour
A proportional relationship has the equation y=3.5x. If x=8, what is y?
28
A proportional relationship has this table:
x:4, 7, 10
y:10, 17.5, 25
What is the constant of proportionality?
k=2.5 or 2 1/2
The constant of proportionality is 3/4. If x=20, what is y? (remember: y=kx)
15
A car travels 30 miles in 3/4 hour. At the same rate, how far will the car travel in 2 hours?
80 miles in 2 hours