unit rates
You earn $24 for working 3 hours. How much do you earn per hour?
8$/hr
If 2 apples cost $4, how much do 6 apples cost at the same rate?
$12
A table shows 2 hours = $16 and 4 hours = $32. What is the hourly rate?
$8/hr
You travel 120 miles in 2 hours. What is your average speed?
60 miles per hr
Which is the greater hourly wage: $45 in 5 hours or $56 in 7 hours?
$45 in 5 hours, because $9/hour is greater than $8/hour
A car travels 180 miles in 3 hours. What is its average speed?
60 mph
A recipe uses 3 cups of flour for 12 cookies. How many cups are needed for 20 cookies?
5 cups
If y = 6x, what is y when x = 9?
54
A cyclist travels at 15 mph for 4 hours. How far does the cyclist travel?
60 miles
A worker earns $15 per hour. How many hours are needed to earn $180?
12 hours
Five notebooks cost $12.50. What is the cost per notebook?
$2.50 per notebook
A worker earns $10 per hour. Write an equation for total earnings y after x hours
y=10x
A proportional table has x = 5 and y = 35. What is k in y = kx?
7
A car travels 240 miles at 60 mph. How long does the trip take?
4 hours
A car travels 150 miles in 3 hours and then 200 miles in 4 hours. What is its overall average speed?
50 mph. Total distance = 350 miles; total time = 7 hours; 350 ÷ 7 = 50
You earn $84 in 7 hours. How much would you earn in 12 hours at the same rate?
$144
Four tickets cost $36. How much will 7 tickets cost at the same rate
$63
Complete the table: x = 3, 6, 9 and y = 12, 24, ___
36
Sarah drives 210 miles in 3.5 hours. What is her average speed?
60 mph
A proportional relationship is represented by y = 4.5x. Find y when x = 16.
72
A machine makes 144 bottles in 8 minutes. At the same rate, how many bottles can it make in 25 minutes?
450 bottles
Are the pairs (2, 10), (4, 20), and (7, 35) proportional? What is the constant of proportionality?
yes. 5
table has (2, 14), (5, 35), and (8, 54). Is it proportional? Explain
No. 14 ÷ 2 = 7 and 35 ÷ 5 = 7, but 54 ÷ 8 = 6.75. The ratios are not all equal
You must drive 420 miles in 6 hours. What average speed do you need to arrive on time?
70mph
Mia earns $12 per hour. Noah earns $15 per hour but starts with a $30 bonus. After how many hours will they have earned the same total amount if Mia has no bonus?
10 hours. 12x = 15x − 30, so 30 = 3x and x = 10