Constant of Proportionality - Words
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.
Nina earns $12 per hour. Write an equation that represents Nina's earnings. Use y for earnings and x for hours worked.
y=12x
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.
A runner runs 300 meters in 30 seconds. What unit rate of the relationship between meters and seconds?
10 meters per second.
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.
Gianna reads 27 pages in 9 minutes. Write an equation for this relationship using y for the total pages read and x for the number of minutes.
y=3x
Is this a proportional relationship?
#of tickets cost
2 3
4 6
6 9
Yes. The constant of proportionality is 1.5.
20 bananas cost 5 dollars. What is the unit rate of the relationship between cost and number of bananas?
$0.25 per banana
A helicopter propeller spins 2400 revolutions in 4 minutes. What is the constant of proportionality.
k = 600
Maxine works at a law office. The equation y = 135x represents her earnings. The variable y is her earnings and x is the number of hours worked.
How much money does she make if she works 40 hours?
$5400
Is this a proportional relationship?
Lbs of Bananas Cost ($)
2 $2.50
3 $3.75
5 $6.25
Yes, and the constant of proportionality is 1.25.
Every 4 hours, a painter paints 2 walls. What is the unit rate of the relationship between walls and hours?
1/2 walls per hour