Constant Rate of Change Pt. 1

Front

What is a constant rate of change?

Back

A constant rate of change means that the quantity changes by the same amount over equal intervals. It indicates a linear relationship.

Front

How do you find the rate of change from a table?

Back

To find the rate of change, divide the change in the dependent variable by the change in the independent variable over equal intervals.

Front

What does a constant slope indicate in a graph?

Back

A constant slope indicates a linear relationship where the rate of change is the same throughout.

Front

If a table shows a constant rate of change, what does that mean?

Back

It means that for every unit increase in the independent variable, the dependent variable increases by a fixed amount.

Front

What is the formula for calculating the rate of change?

Back

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

Front

What is an example of a constant rate of change?

Back

If a car travels 60 miles in 1 hour, it travels at a constant rate of 60 miles per hour.

Front

What does it mean if the rate of change is not constant?

Back

It means that the relationship between the variables is non-linear, and the amount of change varies.

Front

How can you tell if a graph represents a constant rate of change?

Back

If the graph is a straight line, it represents a constant rate of change.

Front

What is the significance of a zero rate of change?

Back

A zero rate of change indicates that the dependent variable does not change as the independent variable changes.

Front

What is the constant rate of change in the equation y = 3x + 2?

Back

The constant rate of change is 3, which is the coefficient of x.