Constant of Proportionality In Words
Constant of Proportionality Equations
Tables and Graphs
Unit Rates
Writing sentences
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
Navelle earns $12 per hour. Write an equation that represents Navelle's earnings.
y = 12x
100
Is the rate of change for this table constant or variable? Explain.
The relationship is constant because if we divide each cost per number of tickets, we see the constant of proportionality is $1.50 per ticket.
100
Every 2.5 hours, a machine produces
2250 basketballs. What is the unit rate of this proportional relationship?
900 basketballs per hour
100
Write an ordered pair for the first point on this graph
(6,1)
200
Lenasia earned $640 in a 40-hour work week.
What is Lenasia's hourly rate of pay?
Lenasia earns $16 per hour.
200
Gianna reads 27 pages in 9 minutes. At What rate does Gianna read?
Write an equation for this relationship.
Gianna reads 3 pages per minute.
y = 3x
200
Is the rate of change for this table constant or not? Explain.
The rate of change is not constant because the when dividing the ice cream sales and the temperature, the constant of proportionality is different.
200
Find the value of:
3/5 = z/8
z = 4.8
200
Write a sentence using the coordinates (3,1) about the cups of dog food (y) and the weight in pounds of the dog (x)
If a weights 3 pounds, it gets 1 cup of dog food.
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
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.
300
A graph represents a proportional relationship if:
1.
2.
1. It increases in a straight line
2. It passes through the origin (0,0)
300
What is a the constant of proportionality of a line that passes through the origin and goes through point (3, 9)?
k = 3
300
Aiden is gardening with his mom. In 1/10 of the garden plot he plants 1/4 of a seed packet.
What portion of the gardening plot does Aiden plant the seeds? (seeds per plot)
2 1/2 seeds per plot
400
Jeff earned $400 working a 40-hour work week.
Find Jeff's hourly wage and use it to predict how much he will make if he works for 47 hours.
Jeff makes $10 per hour and would make $470 IN 47 hours.
400
The equation y = 55x represents the rate of the Long Island highway speed limit, in miles per hour. Let x represent the number of hours driven and y represent the total miles driven.
How long was Francis driving if he drove 247. 5 miles at the speed limit.
Francis drove for 4.5 hours.
400
What is the constant of proportionality of this graph?
k = 1/6
400
Find the constant of proportionality for the ordered pair (0,4)
K = no
There isn't one
400
Using the ordered pair (9, 1000) write a sentence about YOU getting paid where x is the number of hours and y is the dollars
Ms. Govin wish she got paid $1000 for 9 hours of work.
500
Janine sells 16 apples for $8.00. What is the unit price for each apple?
How much would she earn if she sold 64 apples?
The unit price is $0.50 per apple.
Janine would earn $32 for selling 64 apples.
500
If Jackson ate hamburgers at a rate of 3.5 hamburgers per minute and Jacen ate hamburgers at a rate of 4.7 hamburgers per minute, write an equation that could represent how many more hamburgers Jacen can eat more than Jackson.
y = 1.2x
500
Which of these equations are NOT proportional?
a) y = 3x + 5
b) y = 1/4x
c) y = 10x - 6
d) y = 5x
e) y = 1x
a and c
500
Find the missing value
w/13 = 1/4
w = 3.25
500
According to the library, a student needs to read 100 words in 20 seconds. How many words should the student read in 2 minutes?
600 words in 2 minutes.