Tables and Graphs
Constant of Proportionality In Words and Equations
Unit Rates
Circles
Multi Step Problems
100
What is the COP of cost to tickets of this table?
the constant of proportionality is $1.50 per ticket.
100
Jude sends 45 E-mails in 15 minutes.
How many E-mails did he send per minute?
He sent 3 E-mails per minute.
100
Every 2.5 hours, a machine produces
2250 basketballs. What is the unit rate of this proportional relationship?
900 basketballs per hour
100
What are the formulas used for a circle?
c=2(pi)r
c=d(pi)
a=(pi)r^2
100
Water flows from a faucet at a constant rate. Kian measures 8 cups of water every 6 seconds.
What is the constant of proportionality for the relationship of cups of water to minutes?
80 cups per minute
200
What is the COP of the table?
y | x
3 | 1
9 | 3
12|4
What is 3?
200
Lenasia earned $640 in a 40-hour work week.
What is Lenasia's hourly rate of pay?
Lenasia earns $16 per hour.
200
Jaylen’s beta fish tank holds 4 1/2 gallons of water. It takes him 1 7/8 minutes to fill it.
What is the flow rate of the water in gallons per minute? Show your work.
2.4 minutes
200
What is the circumference of a circle with a radius of 3 m? Use 3.14 for pi.
18.84 m
200
At baseball practice the team spends ¾ hour hitting, ½ hour catching and ¼ hour on base running.
At this rate how many hours will the team spend on base running when they practice a total of 10 hours?
5/3 of an hour, or 1 2/3 of an hour
300
A graph represents a proportional relationship if:
1.
2.
1. It is a straight line
2. It passes through the origin
300
A helicopter propeller spins 2400 revolutions in 4 minutes. What is the constant of proportionality (k), in revolutions per minute?
The constant of proportionality is k = 600 RPM.
300
Bruce walks 3/4 mile in 1/5 hour. What is his speed in miles per hour?
3 3/4 mph
300
What is the area of a circle with a diameter of 18 ft?
254.34ft^2
300
Fiona is mixing fertilizer with peat moss to add to her garden. The amount of fertilizer is proportional to the amount of peat moss.
Each 12 lb bag of peat moss costs $3
Write an equation to show the relationship between the pounds and the cost of the peat moss.
y=4x
400
What is the COP of this graph?
1/6
400
Gianna reads 27 pages in 9 minutes. At What rate does Gianna read?
Write an equation for this relationship.
y=3x
400
What is the unit rate of graph that passes through point (4, 16)?
4
400
Jamal rides on a circular bike path that has a diameter of 8 km.
When Jamal rides around the circular path 3 times, how far will he travel?
75.36 km
400
TRUE OR FALSE
The unit rate of 2/1 is equivalent to the ratio 4/6: 9/12
False
500
Is this proportional?
No
500
Maxine works at law office. the equation y = 135x represents her earnings.Determine how much money she makes if she works 40 hours.
Maxine earns $5,400 in 40 hours.
500
A snail moves through a garden and travels 1 1/8 meters in 1 1/2 minutes. What is the
snail’s rate in minutes per meter?
4/3 or 1 1/3 mpm
500
TRUE OR FALSE
Jamal rides on a circular bike path that has a diameter of 8 km.
For Jamal to travel a distance of 40𝛑 km, he can ride around the circular path 5 times.
True
500
Kevin has a drawing of a driveway where the scale from the actual driveway to the drawing is 5 ft for every inch. The dimensions of the scale drawing are 11.5 in. by 4.5 in.
What are the actual dimensions of the driveway?
57.5 ft and 22.5 ft