proportional and non proportional

Front

What is a proportional relationship?

Back

A proportional relationship is one in which two quantities maintain a constant ratio, meaning that as one quantity increases or decreases, the other does so in a consistent manner.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant, often represented by equations that include a constant term.

Front

What does it mean if a graph passes through the origin?

Back

If a graph passes through the origin (0,0), it indicates a proportional relationship between the variables.

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 a constant.

Front

What does the slope (m) represent in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What does the y-intercept (b) represent in the equation y = mx + b?

Back

The y-intercept (b) is the value of y when x is 0, indicating where the line crosses the y-axis.

Front

Is the equation y = 2x + 5 proportional or non-proportional?

Back

Non-proportional, because it has a constant term (5) that shifts the line up.

Front

How can you tell if a graph is linear?

Back

A graph is linear if it forms a straight line when plotted on a coordinate plane.

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

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

Back

An example is a cell phone plan that charges a flat fee plus a per-minute rate.