Unit 2 Proportional Relationships
$5.40
1 2/3 yards of chain costs $9. What is the unit price?
y = 13.25x
A comparison of money earned to the number of hour earned is proportional with a constant of $13.25. What is the equation that represents this situation?
15
A recipe calls for 2 cups of sugar to 6 cups of flour. How many cups of flour would be used if 5 cups of sugar was used? (the new recipe must taste the same as the original)
490
A student reads at a constant rate in her chapter book. This can be described by the equation y = 1/2x. If the book is 245 pages, how many minutes will it take him to finish?
10
A student reads at a constant rate in her chapter book. This can be described by the equation y = 1/2x. If the teacher recommends that students read for 20 minutes each night, how many pages will the student read?
36
A student reads at a constant rate in her chapter book. This can be described by the equation y = 1/2x. In a really exciting part of the book, the student read 18 pages in one sitting. How many minutes did she read for?
The points form a line that passes through the origin.
Describe how you know a graph is proportional.
No
Does the equation represent a proportional reationship? y = 5x + 2
The points form a line that passes through the origin.
Explain why this graph is proportional.
If the points from a line that passes through the origin.
How can you determine if a graph is proportional?
Divide y/x to get per 1
How do you find a Constant of Proportionality (k) (unit rate)?
No, the graph isn't proportional because the points don't pass through the origin.
Is the graph proportional? Explain.
2 2/3
Jeremy walks 2/3 of a mile in 1/4 of an hour. What is the unit rate that describes the miles per hour?
k=6
Jessica walked at a constant pace from school to her house. The equation shows her distance and time. d = 6t. What is the constant of proportionality represented in the equation?
y = 0.666x
Look at the graph. Write an equation that represents the graph.
360
Mario travels 180 miles in 2.5 hours. If he travels at the same rate, how far will Mario travel in 5 hours?
Non-Proportional
Proportional or Non-Proportional?
y-value, constant of proportionality, x-value
The constant of proportionality can be described with the equation y=kx. y = ___________ k = _________ x = __________
k = 3.6
The following equation represents a proportional relationship; what is the COP? y = 3.6x
c = 2.42s
The table represents a proportional relationship. What is the equation that is represented in the table?
y= kx y = 0.333x
This graph represents a proportional relationship. What is the equation that represents this graph?
In 5 minutes, she runs 2 laps.
What does the ordered pair (2,5) mean in this problem?
k = 1.5
What is the COP?
k= 60 and y=60x
What is the COP? Write an equation to represent the graph.
0.333...
What is the constant of proportionality?
60
What is the unit rate? 420 miles in 7 hours
$2.42; For every 1 bag of sand, the cost is $2.42.
What is the unit rate? What does it mean in the context of this problem?
y = 12.5x
Which of the following equations represent a proportional relationship? y = 12.5x or y = 13.5x + 12
y = 3x
Write an equation that represents this table.
