Constant of Proportionality
proportional tables
Proportional graphs
Word Problems
Equations
100
A 12.5 inch candle burns down in 10 hours. At what rate does the candle burn, in inches per hour?
1.25
100
Is the table proportional, explain.
No, because it does not have a constant rate of $4.35.
100
Is the graph proportional? Explain.
Yes, it has a straight line that starts at the origin.
100
Latanya buys 19 bottles of pineapple juice at the corner store for a total cost of $13.11. If each bottle costs the same amount, how much is each bottle of juice?
0.69
100
Does the equation y=3x-1 represent a proportional relationship?
No
200
Daniel walked 2/5 mile in 1/4 hour. How fast did he walk, in miles per hour?
1.6 miles
200
Is the table proportional? Explain.
Yes, it has the same unit rate of $2.65.
200
Is the graph proportional?
No, it does not start at the origin.
200
A four-sided figure is resized to create a scaled copy. The proportional relationship between any given side length in the original figure, f, and the corresponding side length in the scaled copy, s, can be represented by the equation s=6f. What is the constant of proportionality from side lengths in the original figure to side lengths in the scaled copy?
6
200
A company orders 23 boxed lunches from a deli for $201.25. Assume each boxed lunch is the same price. If c represents the total cost in dollars and cents of the lunch order for any number, b, of boxed lunches ordered, write a proportional equation for c in terms of b that matches the context.
c=8.75b
300
A machine packs boxes at a constant rate of 2/3 a box every 1/2 a minute. What is the number of boxes it packs per minute?
4/3
300
Is the table proportional? Explain.
No, they do not have the same unit rate.
300
What does the point represent in the graph?
5 tickets cost $40
300
The proportional relationship between the gallons of gasoline used by Sofia, g, and the total number of miles she drives, m, can be represented by the equation m=33.2g. What is the constant of proportionality between the number of miles driven and the number of gallons used?
33.2
300
What equation could represent this information?
Stacey hikes 12 miles in 3 hours and 20 miles in 5 hours.
m=4h
400
Alexis used 2.5 cups of oreo bits in a dish that serves 10 people. Kaden used 1.6 cups of oreo bits in a dish that serves 8 people. How much more oreo is in one serving of Alexis' dish?
.05 cups
400
Write an equation for the proportional table. Use m=rh
m = 65h
400
Write an equation to represent the proportional graph. Use c=rs
c = 2s
400
Magan practices the piano 784 minutes in 4 weeks. If t represents the total time he practices for any number of days, d, write a proportional equation for t in terms of d that matches the context.
t=28d
400
Write an equation to represent the following:
Tyler uses 3 cups of water for each cup of drink mix.
w=3m
500
A store buys 17 sweaters for $68 and sells them for $561. How much profit does the store make per sweater?
$29 per sweater
500
Calculate the miles for 15 minutes?
1,125 miles
500
Will the graph show a proportional relationship with the coordinates.....
(0,1) (10, 100) (20, 200) (30,300)
No
500
Jasmin is baking a cake that calls for 1/4 cup water for every 1/2 cup of flour. How much flour will she need if she uses 1.5 cups of water?
3 Cups of Flour
500
Write an equation to represent the following:
Mark runs 5 miles a day and Jordan runs 1/2 a mile a day.
m=10j