Proportionality Graphs, Tables, and Equations

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.

Front

If a student studies 60 minutes in 4 days, what is the equation representing this relationship?

Back

y = 15x, where y is the total study time in minutes and x is the number of days.

Front

A model of a house is built using the scale 5 in:25 ft. If a window in the model is 1.5 in. wide, how wide is the actual window?

Back

7.5 ft.

Front

Which equation shows a proportional relationship?

Back

y = 7x, because it can be expressed in the form y = kx.

Front

What does a proportional relationship look like in a table?

Back

A proportional relationship in a table shows that as one quantity increases, the other quantity increases at a constant rate.

Front

What is a proportional graph?

Back

A proportional graph is a straight line that passes through the origin (0,0) and represents a constant ratio between two variables.

Front

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

Back

The constant of proportionality can be found by determining the slope of the line, which is the ratio of the rise (change in y) to the run (change in x).

Front

What is the relationship between proportional equations and graphs?

Back

Proportional equations can be represented as straight lines on a graph, where the slope represents the constant of proportionality.

Front

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

Back

The constant of proportionality is 3.

Front

What does it mean if a table does not represent a proportional relationship?

Back

If a table does not represent a proportional relationship, the ratios of the quantities are not constant.