From a table, Determine if a Relationship Is Proportional

What is a proportion?

• When two ratios can be simplified
• When two ratios are equivalent and show the same value
• When two ratios have the exact same numbers
• When two ratios can be multiplied by 2

Tags

CCSS.7.RP.A.2A

How do you find the unit rate?

• Divide the numerator (y-value) by the denominator (x-value)

• Divide the denominator (x-value) by the numerator (y-value)

• Multiply the numerator (y-value) by the denominator (x-value)

• Multiply the denominator (x-value) by the numerator (y-value)

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

How can you determine if a relationship is proportional? Select all that apply

• Multiply the x (independent variable) values and y (dependent variable) values and see if you get the same product for all

• Multiply the y (dependent variable) values by the x(independent variable) values and see if you get the same product

• Divide the x (independent variable) values by the y (dependent variable) values and see if you get the same quotient for al

• Divide the y (dependent variable) values by the x (independent variable) values and see if you get the same quotient for all

• See if there exists a constant multiplier, such that any x value(independent variable) multiplied by this value would give you a corresponding y (dependent variable) value

The constant of proportionality can be found by finding the... (select all that apply)

• unit rate ( y / x)

• unit rate ( x / y)

• constant multiplier between the independent and dependent variables

• ratio table

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

• k = 2

• k = 1/2

What is the constant of proportionality?

• 45

• 50

• 27

• 1

Tags

CCSS.7.RP.A.2B

Determine if the table above is proportional and how do you know?

• The table is proportional because the unit rate is a constant 0.33.
• The table is proportional because it passes through the origin.
• The table is proportional because the unit rate is a constant 0.28
• The table is not proportional because the unit rate is not constant.

Tags

CCSS.7.RP.A.2A

Is the given table a proportional relationship? If so, what is the constant of proportionality?

• Yes; 1/3
• Yes; 3
• Yes; 5
• No

Tags

CCSS.7.RP.A.2B

This is a table with a proportional relationship between A and B.  Find the missing value of B. 

• 33
• 44
• 32
• 48

Tags

CCSS.7.RP.A.2B