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?

Back

Rate of change = (Change in y) / (Change in x) = (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 slope of a line in relation to rate of change?

Back

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

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 average rate of change?

Back

The average rate of change is the total change in a quantity divided by the total time taken.

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; the quantity changes more rapidly.

Front

What is a linear relationship in terms of rate of change?

Back

A linear relationship has a constant rate of change, represented by a straight line on a graph.