Module 1 Proportional Relationships Flashcards
What is a proportional relationship?
A relationship where two quantities maintain a constant ratio.
True or False: In a proportional relationship, if one quantity doubles, the other quantity also doubles.
True
Fill in the blank: The constant ratio in a proportional relationship is called the __________.
constant of proportionality
If y is proportional to x, which equation represents this relationship?
y = kx, where k is the constant of proportionality.
What is the constant of proportionality if y = 3x?
3
True or False: A graph of a proportional relationship passes through the origin.
True
Which of the following represents a proportional relationship?
A) y = x + 2
B) y = 5x
C) y = x^2
B) y = 5x
Fill in the blank: In a table of values for a proportional relationship, the ratio of each corresponding pair of values is __________.
the same
If a recipe calls for 2 cups of flour for every 3 cups of sugar, is this a proportional relationship?
Yes, it maintains a constant ratio of flour to sugar.
True or False: Proportional relationships can be represented by linear equations.
True
What is the ratio of 4 to 16 expressed in simplest form?
1 to 4
If a car travels 60 miles in 1 hour, how far will it travel in 3 hours assuming a proportional relationship?
180 miles
Which of the following pairs represents a proportional relationship?
A) (2, 4) and (4, 8)
B) (2, 4) and (3, 7)
C) (1, 3) and (2, 5)
A) (2, 4) and (4, 8)
Fill in the blank: To determine if a set of points forms a proportional relationship, you can calculate the __________ of the points.
ratios
What is the equation for finding the constant of proportionality from two quantities x and y?
k = y/x