Proportionality in Tables, Graphs, and Equations

Front

What is proportionality?

Back

Proportionality refers to a relationship between two quantities where their ratio remains constant. If one quantity increases, the other increases at a consistent rate.

Front

What does a proportional relationship look like on a graph?

Back

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

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

How can you identify a non-proportional graph?

Back

A non-proportional graph does not pass through the origin and does not maintain a constant ratio between the x and y values.

Front

What is the constant of proportionality?

Back

The constant of proportionality (k) is the ratio of y to x in a proportional relationship, represented as k = y/x.

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then isolate the variable.

Front

What is an example of a proportional relationship in real life?

Back

An example is the relationship between distance and time when traveling at a constant speed.

Front

If 4 apples cost $2, how much do 10 apples cost?

Back

10 apples cost $5.

Front

What does it mean if a table shows proportional values?

Back

It means that the ratio of the values in the table remains constant.