11.2.17 Average Rate of Change

Front

What is the average rate of change?

Back

The average rate of change is the change in the value of a quantity divided by the time over which the change occurs.

Front

How do you calculate the slope of a line?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does a positive slope indicate?

Back

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

Front

What does a negative slope indicate?

Back

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

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal, indicating no change in the y-value as the x-value changes.

Front

What is the unit of measurement for rate of change?

Back

The unit of measurement for rate of change can vary, but it often includes units like cm/hour, feet/second, or words/minute.

Front

How do you interpret the slope in a real-world context?

Back

The slope represents the rate at which one quantity changes in relation to another, such as speed or productivity.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.

Front

How can you find the average rate of change from a graph?

Back

To find the average rate of change from a graph, identify two points on the line, then use the slope formula.

Front

What is the average rate of change between the points (2, 3) and (5, 9)?

Back

The average rate of change is (9 - 3) / (5 - 2) = 6 / 3 = 2.