Constant of Proportionality (Tables & Graphs)

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented as y = kx.

Tags

CCSS.7.RP.A.2B

Front

How can you identify a proportional relationship in a table?

Back

A proportional relationship in a table can be identified if the ratio of the values in one column to the corresponding values in another column is constant.

Tags

CCSS.7.RP.A.2A

Front

What does a proportional graph look like?

Back

A proportional graph is a straight line that passes through the origin (0,0).

Tags

CCSS.7.RP.A.2D

Front

If a table shows values (2, 4), (3, 6), and (4, 8), what is the constant of proportionality?

Back

The constant of proportionality is 2, as each output value is 2 times the input value.

Tags

CCSS.7.RP.A.2B

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 = y/x.

Tags

CCSS.7.RP.A.2B

Front

How do you determine the constant of proportionality from a given graph?

Back

To determine the constant of proportionality from a graph, find the slope of the line, which represents the constant ratio of y to x.

Tags

CCSS.7.RP.A.2B

Front

What is the significance of the constant of proportionality in real-world applications?

Back

The constant of proportionality helps to understand relationships between quantities, such as speed, density, and cost per item.

Tags

CCSS.7.RP.A.2B

Front

If the constant of proportionality is 1/4, what does this imply about the relationship between x and y?

Back

This implies that for every unit increase in x, y increases by 1/4 units.

Tags

CCSS.7.RP.A.2B

Front

What is the relationship between the constant of proportionality and the slope of a line?

Back

In a proportional relationship, the constant of proportionality is equal to the slope of the line on a graph.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How can you verify if a table represents a proportional relationship?

Back

You can verify by checking if the ratios of corresponding values are equal across the table.

Tags

CCSS.7.RP.A.2D