Constant Rate of Change

Front

What is the Constant Rate of Change?

Back

The Constant Rate of Change is the rate at which one quantity changes in relation to another quantity, remaining consistent over time.

Front

How do you find the rate of change?

Back

Rate of change can be found using the formula: (change in y) / (change in x), also known as rise over run.

Front

What does a proportional graph look like?

Back

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

Front

What does the point (3, 27) represent in a real-world context?

Back

The point (3, 27) represents $27 for 3 shirts.

Front

What is the formula for calculating the slope of a line?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does a negative rate of change indicate?

Back

A negative rate of change indicates that as one quantity increases, the other quantity decreases.

Front

What is an example of a constant rate of change?

Back

An example of a constant rate of change is a car traveling at a speed of 60 miles per hour.

Front

What is the significance of the origin in a proportional relationship?

Back

In a proportional relationship, the origin (0,0) signifies that when there is no input (0), there is no output (0).

Front

What does 'rise over run' mean?

Back

'Rise over run' refers to the vertical change (rise) divided by the horizontal change (run) between two points on a graph.

Front

What is the rate of change if y increases by 10 when x increases by 5?

Back

The rate of change is 10/5 = 2.