Compare constants of proportionality

Compare constants of proportionality

When looking at a pair of equations, you can determine which equation has the greater Constant of Proportionality simply by looking at the equations.

Multiple Choice

Which equation has a greater constant of proportionality?

• y = 2x

• y = 3x

• y = 1/5x

• y = 5x

Multiple Choice

Which equation has a greater constant of proportionality?

• y = 12x

• y = x

• y = 1/3x

• y = 5x

Multiple Choice

Which equation has the greater constant of proportionality?

• y = 100x

• y = 5x

• y = 1/2x

• y = 4x

COP from tables

Divide the dependent variable by the independent variable.

Open Ended

Why would the constant of proportionality be 13?

Unit rate

There are 13 apples per tree. This is another way to describe the constant of proportionality or the unit rate

Multiple Choice

Which answer describes the unit rate in the table?

• 2 bales of hay per mule

• 1 bale of hay per mule

• 1/2 bale of hay per mule

• 10 bales of hay per mule

Multiple Choice

What is the Constant of Proportionality in the table?

• 3

• 5

• 15

• 1/3

Recipe B uses 9 ounces of flour to make 12 servings of dough.

The unit rate in this situation is 9/12 ounces of flour per serving of dough or 3/4 ounces of flour per serving of dough.

Multiple Choice

Mr. Cotton uses 10 table spoons of sugar per every 2 cups of kool aid. Which answer below describes the constant of proportionality?

• 5 table spoons of sugar per cup of kool aid

• 10 cups of sugar per cup of kool aid

• 1/5 cups of sugar per cup of cool aid

Multiple Choice

Which answer below best describes when there are 80 inches of snow over 10 days.

• 8 inches of snow per day

• 10 inches of snow per day

• 80 inches of snow per day

Multiple Choice

Which answer below best describes when 5 pounds of potatoes cost $10

• 1/2 pound of potatoe per dollar

• 5 pounds of potatoes per dollar

• 10 pounds of potatoes per dollar

In this graph, line u is moving faster than line v, when you read a graph, the steeper line (the one thats looks like it would be more difficult to hike) has the greater C.O.P. or unit rate.

Multiple Choice

Which line has the greater unit rate?

• line V

• line U

Multiple Choice

Which graph has the greater unit rate?

• avenger (red)

• serendipity

Today you are going to...

compare constants of proportionality