Constant of Proportionality/ Unit Rates

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, indicating how one quantity changes in relation to another.

Tags

CCSS.7.RP.A.2B

Front

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

Back

To find the constant of proportionality, divide the value of one quantity by the corresponding value of the other quantity for any pair of values.

Tags

CCSS.7.RP.A.2B

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity of one.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the first quantity by the second quantity to find the amount per one unit of the second quantity.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a car travels 300 miles in 5 hours, what is the unit rate of speed?

Back

The unit rate of speed is 60 miles per hour (300 miles ÷ 5 hours).

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the formula for finding the constant of proportionality?

Back

The formula is k = y/x, where k is the constant of proportionality, y is the dependent variable, and x is the independent variable.

Tags

CCSS.7.RP.A.2B

Front

If a recipe requires 4 cups of flour for 2 cups of sugar, what is the constant of proportionality for flour to sugar?

Back

The constant of proportionality is 2 (4 cups of flour ÷ 2 cups of sugar).

Tags

CCSS.7.RP.A.2B

Front

What does it mean if the constant of proportionality is greater than 1?

Back

If the constant of proportionality is greater than 1, it means that the dependent quantity increases faster than the independent quantity.

Tags

CCSS.7.RP.A.2B

Front

What does it mean if the constant of proportionality is less than 1?

Back

If the constant of proportionality is less than 1, it means that the dependent quantity increases slower than the independent quantity.

Tags

CCSS.7.RP.A.2B

Front

Henry can write 5 ¼ pages of his novel in 3 hours. How many pages does he write per hour?

Back

Henry writes 1.75 pages per hour (5.25 pages ÷ 3 hours).

Tags

CCSS.7.RP.A.1