Identifying Direct Variation Relationships

What is another name for a direct variation relationship?

• Inverse relationship

• Exponential relationship

• Proportional relationship

• Quadratic relationship

In the equation y = kx, what does 'k' represent?

• The exponent

• The constant of variation

• The x-intercept

• The y-intercept

Which of the following equations represents a direct variation?

• y = 2x - 1

• y = 3x + 2

• y = x^2

• y = 5x

How can you test if a table represents a direct variation?

• Check if the sum of x and y is constant

• Check if y values are all positive

• Check if x values are all positive

• Check if the ratio y/x is constant

If a table has the pairs (4, 1) and (6, 2), does it represent a direct variation?

• Yes, because the sum of x and y is constant

• Yes, because the ratio y/x is constant

• No, because the sum of x and y is not constant

• No, because the ratio y/x is not constant

Given the table with pairs (0.5, 1), (1, 2), (1.5, 3), and (2, 4), what is the constant of variation (k)?

• 1.5

• 1

• 0.5

• 2

For a graph to represent a direct variation, it must:

• Be a horizontal line

• Have a y-intercept

• Pass through the origin

• Be a curve

If y varies directly with x and x = 3 when y = 21, what is the value of x when y = 105?

• 15

• 10

• 5

• 20

Madden can type 225 words in 3 minutes. How many words can he type in 7 minutes?

• 450

• 600

• 675

• 525

A toy car moves 204 cm in 12 seconds. How long will it take to move 306 cm?

• 21 seconds

• 24 seconds

• 18 seconds

• 15 seconds