Rate of Change

Front

What is the definition of rate of change?

Back

The rate of change is a measure of how much a quantity changes in relation to another quantity, often expressed as a ratio or a slope.

Front

How do you calculate the rate of change between two points on a graph?

Back

The rate of change is calculated by taking the difference in the y-values and dividing it by the difference in the x-values (slope formula: (y2 - y1) / (x2 - x1)).

Front

What does a positive rate of change indicate?

Back

A positive rate of change indicates that as one quantity increases, the other quantity also increases.

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 the rate of change in the context of a linear function?

Back

In a linear function, the rate of change is constant and is represented by the slope of the line.

Front

If a car travels 60 miles in 1 hour, what is the rate of change?

Back

The rate of change is 60 miles per hour.

Front

What is the significance of the slope in a graph?

Back

The slope represents the rate of change between the two variables plotted on the graph.

Front

How can you interpret a slope of 0?

Back

A slope of 0 indicates that there is no change in the y-value as the x-value changes; the line is horizontal.

Front

What does a steeper slope indicate about the rate of change?

Back

A steeper slope indicates a greater rate of change between the two variables.

Front

In the equation y = mx + b, what does 'm' represent?

Back

'm' represents the slope of the line, which is the rate of change.