Exploring Proportional Relationships

Which of the following tables represents a proportional relationship between x and y?

• Yes, it is proportional

• No, it is not proportional

A graph passes through the origin and is a straight line. What does this indicate about the relationship between x and y?

• The relationship is not proportional

• The relationship is proportional

• The relationship is quadratic

• The relationship is exponential

Which equation represents a proportional relationship?

• y = 2x + 1

• y = 3x

• y = x^2

• y = 5x - 4

Given the table below, what is the constant of proportionality?

• 2

• 4

• 5

• 10

If a graph of a relationship between x and y is a straight line that does NOT pass through the origin, what can you conclude?

• The relationship is proportional

• The relationship is not proportional

• The relationship is quadratic

• The relationship is exponential

Which of the following real-world situations describes a proportional relationship?

• The cost of apples is $2 per apple.

• A taxi charges a 5 flat fee plus 2 per mile.

• The area of a square as a function of its side length.

• The temperature in Celsius as a function of temperature in Fahrenheit.

You are given the equation y = 7x. Which of the following is a correct table for this relationship?

• 1 | 7 2 | 14 3 | 21

• 1 | 8 2 | 15 3 | 22

• 1 | 6 2 | 12 3 | 18

• 1 | 5 2 | 10 3 | 15

If y is proportional to x and y = 12 when x = 4, what is y when x = 10?

• 24

• 30

• 36

• 40

Which graph best represents a proportional relationship?

• A straight line passing through the origin

• A straight line not passing through the origin

• A curve passing through the origin

• A horizontal line

A recipe uses 3 cups of flour for every 2 cups of sugar. Which equation represents the proportional relationship between flour (f) and sugar (s)?

• f = \frac{2}{3}s

• f = \frac{3}{2}s

• f = 2s + 1

• f = 3s - 2