Proportional Relationships

What is the constant of proportionality in the equation y = 3x?

• 1

• 3

• 9

• -3

Which of the following equations represents a proportional relationship?

• y = 2x - 9

• 2x + 3y = 0

• 3y = 9x

• None of the above

If the value of y varies directly with x, and y = 24 when x = 6, what is the value of y when x = 25?

• 50

• 100

• 150

• 200

Given the direct variation equation y = kx, if y = 3 when x = 10, what is the value of k?

• 0.3

• 3

• 10

• 30

If a savings account offers a 2% savings rate, what is the direct variation equation for the amount of interest (y) earned on a balance (x)?

• y = 0.02x

• y = 0.2x

• y = 2x

• y = 20x

Another bank offers a different savings rate. If an account with $400 earns interest of $6, how much interest is earned by an account with $1800?

• $24

• $27

• $30

• $300

Which equation represents a direct variation between x and y?

• y = 7x

• y = 4x - 10

• 3x - 5y = 0

• 2y + 3x = 9

What is the constant of proportionality for the equation y = 5x?

• 2

• 5

• 7

• 10

If y varies directly with x and the constant of proportionality is 4, what is the equation of the direct variation?

• y = 4x

• y = x/4

• y = x + 4

• y = 4 - x

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