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 from a graph?

Back

The rate of change can be calculated by finding the slope of the line, which is the change in the y-values divided by the change in the x-values (rise/run).

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

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

Back

'm' represents the rate of change or slope of the line.

Front

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

Back

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

Front

What is the rate of change in the equation y = 5x + 2?

Back

The rate of change is 5.

Front

How can you interpret a rate of change of -30 feet per minute?

Back

It means that the quantity is decreasing by 30 feet for every minute that passes.

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

The formula is (y2 - y1) / (x2 - x1).

Front

What does a slope of -2/3 mean in a real-world context?

Back

It means that for every 3 units increase in the x-direction, the y-value decreases by 2 units.