proportional and non proportional

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio, meaning as one quantity increases, the other increases at a consistent rate.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant, meaning the relationship does not maintain a consistent rate of change.

Front

What does the equation y = mx + b represent?

Back

This equation represents a linear relationship, where 'm' is the slope (rate of change) and 'b' is the y-intercept (the value of y when x=0).

Front

In the equation y = 3.75x + 2, what does the '+2' indicate?

Back

The '+2' indicates that the relationship is non-proportional because there is a constant added to the product of 3.75 and x.

Front

How do you determine if a relationship is proportional from a graph?

Back

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

Front

What is the rate of change in a proportional relationship?

Back

The rate of change in a proportional relationship is constant and can be found by dividing the change in y by the change in x.

Front

What is an example of a proportional relationship?

Back

An example of a proportional relationship is the cost of apples if they are sold at a constant price per pound, such as $2 per pound.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is a video game rental fee that includes a flat fee plus a daily charge, such as $15 plus $3 per day.

Front

What does 'rise over run' refer to?

Back

'Rise over run' refers to the slope of a line, calculated as the change in y (rise) divided by the change in x (run).

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the rate of change between the two variables; a steeper slope means a greater rate of change.