Module 1 Proportional Relationships Flashcards

1
Q

What is a proportional relationship?

A

A relationship where two quantities maintain a constant ratio.

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2
Q

True or False: In a proportional relationship, if one quantity doubles, the other quantity also doubles.

A

True

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3
Q

Fill in the blank: The constant ratio in a proportional relationship is called the __________.

A

constant of proportionality

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4
Q

If y is proportional to x, which equation represents this relationship?

A

y = kx, where k is the constant of proportionality.

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5
Q

What is the constant of proportionality if y = 3x?

A

3

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6
Q

True or False: A graph of a proportional relationship passes through the origin.

A

True

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7
Q

Which of the following represents a proportional relationship?
A) y = x + 2
B) y = 5x
C) y = x^2

A

B) y = 5x

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8
Q

Fill in the blank: In a table of values for a proportional relationship, the ratio of each corresponding pair of values is __________.

A

the same

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9
Q

If a recipe calls for 2 cups of flour for every 3 cups of sugar, is this a proportional relationship?

A

Yes, it maintains a constant ratio of flour to sugar.

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10
Q

True or False: Proportional relationships can be represented by linear equations.

A

True

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11
Q

What is the ratio of 4 to 16 expressed in simplest form?

A

1 to 4

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12
Q

If a car travels 60 miles in 1 hour, how far will it travel in 3 hours assuming a proportional relationship?

A

180 miles

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13
Q

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

A) (2, 4) and (4, 8)

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14
Q

Fill in the blank: To determine if a set of points forms a proportional relationship, you can calculate the __________ of the points.

A

ratios

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15
Q

What is the equation for finding the constant of proportionality from two quantities x and y?

A

k = y/x

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16
Q

True or False: The graph of a proportional relationship is always a straight line.

A

True

17
Q

If y = 10 when x = 2, what is the constant of proportionality?

A

5

18
Q

Which of the following is NOT a characteristic of proportional relationships?
A) They pass through the origin
B) They have a constant slope
C) They can have negative ratios

A

C) They can have negative ratios

19
Q

What is the unit rate in the proportional relationship of 30 miles in 2 hours?

A

15 miles per hour

20
Q

Fill in the blank: A proportional relationship can be represented by a __________ on a coordinate plane.

A

straight line

21
Q

If the constant of proportionality is 7, what is y when x = 4?

A

28

22
Q

True or False: The values in a proportional relationship can vary wildly without maintaining a consistent ratio.

A

False