Direct Variation: Constant of Proportionality

Direct Variation: The Constant of Proportionality

and the Constant of Proportionality

use the formula: k = y/x

​

​To find the Constant of Proportionality:

​

Multiple Choice

y varies directly with x. If y = 10 and x = 2, what is the constant of proportionality?

• 10

• 2

• 5

• 1/5

Multiple Choice

y varies directly with x. If y = 20 and x = 5, what is the constant of proportionality?

• 20

• 5

• 4

• 1/4

Multiple Choice

y varies directly with x. If y = 50 and x = 5, what is the constant of proportionality?

• 50

• 5

• 10

• 1/10

Multiple Choice

y varies directly with x. If y = 2 and x = 6, what is the constant of proportionality?

• 2

• 6

• 3

• 1/3

Multiple Choice

y varies directly with x. If y = 18 and x = 3, what is the constant of proportionality?

• 18

• 3

• 6

• 1/6

Multiple Choice

y varies directly with x. If y = 12 and x = 15, what is the constant of proportionality?

• 12

• 15

• 4/5

• 5/4

Multiple Choice

y varies directly with x. If y = 1 and x = 8, what is the constant of proportionality?

• 1

• 8

• 1/8

Use the formula: y = kx​

​

​Finding y if you know k and x

​

Multiple Choice

y varies directly with x. If the constant of proportionality is 10 and x = 6, what is y?

• 10

• 6

• 60

• 5/3

Multiple Choice

y varies directly with x. If the constant of proportionality is 3 and x = 5, what is y?

• 3

• 5

• 15

• 5/3

Multiple Choice

y varies directly with x. If the constant of proportionality is 12 and x = 2, what is y?

• 12

• 2

• 24

• 6

Multiple Choice

y varies directly with x. If the constant of proportionality is 4 and x = 8, what is y?

• 4

• 8

• 2

• 32

Multiple Choice

y varies directly with x. If the constant of proportionality is 7 and x = 3, what is y?

• 7

• 3

• 21

• 3/7

Use the formula: y = kx

​

​Finding x when you know k and y

​

Multiple Choice

y varies directly with x. If the constant of proportionality is 3 and y = 15, what is x?

• 3

• 15

• 5

• 1/5

Multiple Choice

y varies directly with x. If the constant of proportionality is 6 and y = 24, what is x?

• 6

• 24

• 4

• 1/4

Multiple Choice

y varies directly with x. If the constant of proportionality is 20 and y = 4, what is x?

• 20

• 4

• 5

• 1/5

Multiple Choice

y varies directly with x. If the constant of proportionality is 8 and y = 56, what is x?

• 8

• 56

• 7

• 1/7

Multiple Choice

y varies directly with x. If the constant of proportionality is 5 and y = 5, what is x?

• 5

• 1

• 0