Graphs of Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Tags

CCSS.7.RP.A.2A

Front

What does the constant of proportionality represent?

Back

The constant of proportionality represents the ratio between two proportional quantities, often denoted as 'k' in the equation y = kx.

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 y by the value of x for any pair of corresponding 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 per one unit of another quantity.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you calculate a unit rate from a proportional relationship?

Back

To calculate a unit rate, divide the total amount by the number of units. For example, if 60 miles are traveled in 1 hour, the unit rate is 60 miles per hour.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does the ordered pair (x, y) represent in a graph of a proportional relationship?

Back

In a graph of a proportional relationship, the ordered pair (x, y) represents the quantity of x and the corresponding quantity of y.

Tags

CCSS.7.RP.A.2D

Front

What is the significance of the point (1, k) in a proportional relationship?

Back

The point (1, k) represents the unit rate, indicating how much of y corresponds to one unit of x.

Tags

CCSS.7.RP.A.2D

Front

How can you express a proportional relationship using an equation?

Back

A proportional relationship can be expressed using the equation y = kx, where k is the constant of proportionality.

Tags

CCSS.7.RP.A.2C

Front

What does it mean if a point lies on the line of a proportional relationship graph?

Back

If a point lies on the line of a proportional relationship graph, it means that the x and y values of that point maintain the constant ratio.

Tags

CCSS.7.RP.A.2D

Front

How do you determine if two ratios are proportional?

Back

Two ratios are proportional if their cross products are equal. For example, for ratios a/b and c/d, they are proportional if a*d = b*c.

Tags

CCSS.7.RP.A.2A