Rate of Change

Front

What is the rate of change?

Back

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

Front

How do you determine if a table represents a linear pattern?

Back

A table represents a linear pattern if the rate of change between the values is constant.

Front

What does a constant rate of change indicate?

Back

A constant rate of change indicates a linear relationship between two variables.

Front

If the rate of change is not constant, what type of relationship does it indicate?

Back

If the rate of change is not constant, it indicates a non-linear relationship between the variables.

Front

Calculate the rate of change if the values change from (2, 4) to (4, 10).

Back

Rate of change = (10 - 4) / (4 - 2) = 6 / 2 = 3.

Front

What is the formula for calculating the rate of change?

Back

Rate of change = (Change in y) / (Change in x) = (y2 - y1) / (x2 - x1).

Front

If a table shows values (1, 2), (2, 4), (3, 6), what is the rate of change?

Back

The rate of change is 2, as it increases by 2 for every increase of 1 in x.

Front

What does a negative rate of change signify?

Back

A negative rate of change signifies that as one quantity increases, the other quantity decreases.

Front

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

Back

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

Front

What is the significance of the slope in a graph?

Back

The slope indicates the steepness of the line and the direction of the relationship between the variables.