Unit Rates and Proportionality Problems

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how many units of one quantity correspond to one unit of another quantity.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you find the constant of proportionality from a table?

Back

To find the constant of proportionality, divide the value of y by the value of x for any pair of corresponding values in the table. The result will be the same for all pairs if the relationship is proportional.

Tags

CCSS.7.RP.A.2B

Front

What does the equation y = kx represent?

Back

The equation y = kx represents a proportional relationship where k is the constant of proportionality, indicating how much y changes for a change in x.

Tags

CCSS.7.RP.A.2C

Front

If the constant of proportionality k = 1.50, what does this mean?

Back

It means that for every 1 unit increase in x, y increases by 1.50 units.

Tags

CCSS.7.RP.A.2B

Front

How do you calculate the price per item?

Back

To calculate the price per item, divide the total cost by the number of items purchased.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the unit rate of 3/4 cup of brown sugar for every 3 eggs?

Back

The unit rate is 4 eggs per cup of brown sugar.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a recipe requires 2 cups of flour for 4 servings, what is the unit rate of flour per serving?

Back

The unit rate is 0.5 cups of flour per serving.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the formula to find the constant of proportionality from a graph?

Back

The constant of proportionality can be found by selecting two points on the line, (x1, y1) and (x2, y2), and using the formula k = y1/x1 = y2/x2.

Tags

CCSS.7.RP.A.2B

Front

What does it mean if a relationship is not proportional?

Back

If a relationship is not proportional, it means that the ratio of y to x is not constant; as x changes, y does not change in a consistent manner.

Tags

CCSS.7.RP.A.2A

Front

How can you express a unit rate as a fraction?

Back

A unit rate can be expressed as a fraction by placing the quantity of interest in the numerator and the unit of comparison in the denominator.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2