Constant of Proportionality (k)

The ________ ___ ____________________ is the constant proportional relationship between two quantities (y and x) when the quantities have ________ __________. In order for two quantities to have direct variation, one quantity must be __ ___________ _______________ of the other. The constant of proportionality is always a _______ _______.

• difference of exponents; exponential growth; a variable factor; negative number

• constant of proportionality; direct variation; a constant multiple; real number

• sum of coefficients; quadratic relation; a squared value; complex integer

• ratio of variables; inverse variation; a variable sum; imaginary number

Y = 3x

What is the constant of proportionality?

• 1

• 3

• x

• 0

Tags

CCSS.7.RP.A.2B

y=1.5x

What is the constant of proportionality?

• y

• 1.5

• x

• 0

Tags

CCSS.7.RP.A.2B

y=26x

What is the constant of proportionality?

• k

• x

• y

• 26

Tags

CCSS.7.RP.A.2B

y=-4x

What is the constant of proportionality?

• -4

• 0

• 1

• k

Tags

CCSS.7.RP.A.2B

For tables, ______ the y value by the x value. What is the constant of proportionality for the table: X: 0, 3, 6; Y: 0, 6, 12?

• divide; 2

• multiply; 3

• subtract; 4

• add; 6

Tags

CCSS.7.RP.A.2B

What is the constant of proportionality for the table: X: 1, 2, 3; Y: 5, 10, 15?

• 1

• 5

• 10

• 3

Tags

CCSS.7.RP.A.2B

What is the constant of proportionality for the table: X: 21, 27, 30; Y: 7, 9, 3?

• 1/3

• 3

• 21

• 7

Tags

CCSS.7.RP.A.2B

On a graph, choose an ordered pair (x, y) then ______ the y value by the x value. *The line must go through the __________ and be a ________ line.

• add; center; dotted

• divide; origin; straight

• subtract; axis; broken

• multiply; vertex; curved

Tags

CCSS.7.RP.A.2C

In a word problem, find the ____ ______ by dividing the y (dependent) variable by the x (independent) value. 1. Jane can run 12 miles in 2 hours or 18 miles in 3 hours. What is the constant of proportionality for this situation?

• constant of proportionality; 6 miles per hour

• rate of change; 9 miles per hour

• unit rate; 12 miles per hour

• proportional constant; 3 miles per hour

Tags

CCSS.7.RP.A.2B