Constant Proportionality from Tables
Drew paints portraits. Find the constant of proportionality if it is a proportional relationship (with correct units!)
Number of portraits Time (in hours)
1 5
2 10
3 15
4 20
What is 5 portraits per hour?
James sends 45 emails in 15 minutes. How many emails did he send per minute?
He sent 3 emails per minute.
This means the constant of proportionality is 3.
What is 7?
The table shows the distance covered by a train over time. How far would the train go in 24 hours?
Distance (km) 50 60 70 80
Time (in hours) 10 12 14 16
What is 120 miles?
The table shows the amount earned by Harry for selling ice cream. Find the equation.
Cups Sold 3 5 7 9
Earnings ($) 12 20 28 36
What is y = 4x?
Liana earned $640 in a 40 hour work week. What is Liana's hourly rate of pay?
Liana earns $16 per hour.
This means the constant of proportionality is 16.
Find the constant of proportionality: y = (2/3)x
What is 2/3?
Andrea rents a bike for a day. The rental charges are determined by the equation: R = $0.50d, where R is rental charges and d is number of days. Find the cost of a 7 day bike rental.
What is $3.50?
Fred wrote notes during an exam. Find k (with correct units) if it is a proportional relationship.
Notes (pages) 8 9 10 11
Time (in hours) 16 18 20 23
What is not proportional?
A helicopter propeller spins 2500 revolutions in 4 minutes. What is the constant of proportionality for revolutions per minute.
k = 626.25
Daisy made bread. The equation B = 4f shows the number of breads basked based on the amount of flour used. Where B is the number of bread loaves made and f is the cups of flour used. Find the constant of proportionality.
What is 4 loaves/cup?
Daisy made envelopes from paper. Figure out the incorrect information and replace it with the correct value.
Number of envelopes 1 2 3 4Number of sheets 2 4 6 12
What is (4,8)?
A ferry transports bikes to an island. Write the equation
Number of bikes 10 12 14 16
Number of trips 5 6 7 8
What is y = 0.5x?
Is this a proportional relationship?
Time (h) Quantity
1 4
2 8
3 14
No.
The number of milk bottles sold can be determined by the equation P = 0.35n, where P is the number of bottles of milk and n is the number of boxes opened. Find the constant of proportionality with correct units.
What is 0.35 bottles per box?
At a party, the number of cold drink bottles consumed can be determined by the equation B = 3G, where B is the number of bottles and G is the number of guests. Find the number of guests if there are 51 bottles.
What is 17 guests?
Alice bought comics. Find the k (with correct units) if the table shows a proportional relationship.
Price (dollars) 6 12 16 24
What is not proportional?
Is this a proportional relationship?
#of tickets cost
2 3
4 6
6 9
Yes. The constant of proportionality is 1.5.
Is this a proportional relationship?
Time (h) Quantity (barrels)
1 2.75
2 5.5
3 8.25
Yes, and the constant of proportionality is 2.75.
Find the amount of seed packets you need to have 1000 plants and there are 10 seeds in a pack.
What is 100 packets?