Tables
Graphs
Proportional or Not?
Constant of Proportionality
Unit Rate
100
Write an equation to represent the relationship between total weight, y, and number of concrete blocks, x.
y=10x
100
Write an equation to represent the graph below.
y=50x
100
Does this table show a proportional relationship?
BONUS: Write an equation to represent the relationship in the table.
Yes, the ratio of y/x is constant.
y=1.5x OR
y=3/2x
100
What is the constant of proportionality for the table below?
k = 13
13 apples per tree
100
What is the denominator for every unit rate problem?
1
Unit rate always has 1 as a denominator
200
Based on the information in the table, how many hours would you have to work to earn $117?
13 hours
($9 per hour x 13 hours = $117)
200
After how many weeks will the account balance be at $0?
10 weeks
200
Is the relationship shown in the graph proportional or non-proportional?
BONUS: Write an equation to represent the relationship.
Proportional
y=3x
200
A bakery sells 24 cupcakes for $84. What is the constant of proportionality that represents the relationship between x, the number of cupcakes, and y, the total cost?
k = 3.5
200
The unit rate when 297 books are placed on 11 shelves.
27 books per shelf
300
What is the rate of change in the table below?
rate of change = 2
(y increases by 4, x increases by 2)
300
Which equation represents the relationship in the graph below?
A. y=2x+3 B. y=2/3x C. y = 3x+2 D. y = 1.5x
D. y = 1.5x
300
David is training for a race. He starts each day by walking 1 mile, then running at a pace of 6 miles per hour.
Is this proportional or non-proportional?
Write an equation to represent the relationship between the total number of miles he covers in a day, y, and the number of hours he runs, x?
Non-proportional.
y = 6x + 1
300
Find my Constant of Proportionality
x 1.5 2.5 4.5
y 6 10 18
k = 4
300
The unit rate when 3.5 pounds of apples are purchased for $7.63.
$2.18 per pound
400
Write an equation to represent the relationship in the table below.
y = 4x + 5
400
What is the y-intercept in the graph below? What does this point represent?
20 - this represents a fee of $20 that is paid before any tickets are purchased.
400
Is this graph proportional? Why or why not?
BONUS: Write an equation to represent the relationship shown in the graph.
No. It doesn't go through the origin
y=3x-4
400
Find the Constant of Proportionality.
k= 1/3
400
A printer makes 84 pages in 6 minutes.
How many pages does it print per minute?
How long would it take to print 154 pages at that rate?
14 pages per minute
11 minutes for 154 pages
500
Using the information in the table, how much money would be earned for 15 hours of work?
$232.50
($15.50 per hour x 15 hours = $232.50)
500
Billy goes to the candy shop and buys 0.25 of a pound of gummy worms for $2. Create a graph to represent y, the total cost for x pounds of gummy worms.
(0, 0)
(0.5, 4)
(1, 8)
(2, 16)
500
Is the relationship in the table proportional or non-proportional? How do you know?
Non-proportional - the ratio of y/x is not constant
500
What is the constant of proportionality in the graph below?
k=1/6
500
A faucet fills 18 gallons in 2.4 minutes.
Find its rate in gallons per minute.
At that rate, how long will it take to fill 60 gallons?
7.5 gallons per minute
8 minutes to fill 60 gallons