Exploring Proportional and Nonproportional Relationships

What is the equation form of a proportional relationship?

• y = kx

• y = x + c

• y = kx + b

• y = mx + b

Which point does a proportional relationship always pass through?

• (1,1)

• (0,0)

• (0,1)

• (1,0)

In a proportional relationship, what remains constant?

• The ratio of y to x

• The difference between x and y

• The product of x and y

• The sum of x and y

If the number of hours driven increases by 1 and the miles driven increases by 50, what is the constant of proportionality (k)?

• 100

• 1

• 50

• 0.02

Using the equation M = 50H, how many miles would be driven in 8 hours?

• 300 miles

• 450 miles

• 350 miles

• 400 miles

What is a key characteristic of a non-proportional relationship?

• It passes through the origin

• It does not pass through the origin

• It has a constant ratio of y to x

• It has no slope

In a non-proportional relationship, if the x values increase by 1 and the y values increase by 3, what is the slope (k)?

• 2

• 3

• 1

• 0.33

Given the points (1,1), (2,4), (3,7), (4,10), and (5,13), what is the correct equation for the non-proportional relationship?

• y = 3x

• y = 3x + 2

• y = x + 3

• y = 3x - 2

What is the function notation for the equation y = 3x - 2?

• f(x) = 3x + 2

• f(x) = 3x - 2

• f(x) = x - 2

• f(x) = 3x

If the equation of a non-proportional relationship is y = 3x - 2, what is the y-value when x = 4?

• 12

• 10

• 8

• 14