Interpret the Meaning of Rate of Change

Front

What is the definition of rate of change?

Back

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

Front

What is another term for rate of change in a linear function?

Back

Slope.

Front

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

Back

The slope, or rate of change, of the line.

Front

How can the slope of a line be interpreted in a real-world context?

Back

The slope represents the rate at which one quantity changes with respect to another, such as speed, cost per item, or growth rate.

Front

What does a positive slope indicate about the relationship between two variables?

Back

A positive slope indicates that as one variable increases, the other variable also increases.

Front

What does a negative slope indicate about the relationship between two variables?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

In the context of a graph, what does the steepness of the slope represent?

Back

The steepness of the slope represents the rate of change; a steeper slope indicates a greater rate of change.

Front

What is the significance of a slope of zero in a linear function?

Back

A slope of zero indicates that there is no change in the dependent variable as the independent variable changes; the line is horizontal.

Front

How can you calculate the slope between two points on a graph?

Back

The slope can be calculated using the formula (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What does the slope represent in a distance-time graph?

Back

The slope represents the speed or velocity of the object.