Finding Constant of Proportionality

There is a proportional relationship between the time (in days) Layla spends making porch swings, x, and the number of swings she builds, y. What is the constant of proportionality? Remember: k=y/x

• k = 1/5

• k = 5

What characteristic do you look for in the table in order to decide whether the relationship is proportional?

• The amount earned divided by the number of days is constant for each pair of values in the table.

• The amount of days that are worked go up to 5.

• The amount earned multiplied by the amount earned is constant for x and y.

For the equation: k=y/x, the variable k is called the...

• Constant, and it represents the constant rate of change or constant ratio between x and y

• Coefficient, and it represents the constant rate of change or constant ratio between x and y

• x factor, and it represents the constant rate of change or constant ratio between x and y

• y factor, and it represents the constant rate of change or constant ratio between x and y

From the table, determine if the relationship is proportional? What is the equation?

• No, its not proportional

• Yes, it's proportional. y = 4.5x

• yes, it's proportional. y= 4x

Identify the constant of proportionality.

• k = 2x

• k = 2

• k = 4

• none

What is the constant of proportionality in the graph?

Mathematical Equivalence

ON

Identify the constant of proportionality

• k = 1/90

• k = 1/30

• k = 90

• k = 30

What is the constant of proportionality?

• $3

• $4

• $2

• $9

What is the constant of proportionality (k) of this table?

​ (a)  

• k=10

• k= 1/5

• k=15

• there is no constant of proportionality

Tags

NY-7.RP.2.b

To find the constant of proportionality you divide ​ (a)   by ​ (b)  

• y

• x

• z

• w