Constant Rate of Change

Front

What is a constant rate of change?

Back

A constant rate of change is a consistent amount of change in one quantity relative to another quantity over a specific period of time.

Front

How do you calculate the rate of change?

Back

Rate of change = (Change in quantity)/(Change in time) or (y2 - y1)/(x2 - x1).

Front

What does a constant slope on a graph indicate?

Back

A constant slope indicates a constant rate of change between the two variables represented on the graph.

Front

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

Back

It means that for every unit increase in one quantity, there is a consistent increase or decrease in the other quantity.

Front

What is the unit of measurement for rate of change?

Back

The unit of measurement can vary, but it often includes terms like 'per minute', 'per hour', or 'per unit'.

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 an example of a constant rate of change in real life?

Back

An example is a car traveling at a constant speed of 60 miles per hour.

Front

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

Back

The y-intercept represents the value of the dependent variable when the independent variable is zero.

Front

How can you tell if a relationship is linear from a table of values?

Back

If the differences between consecutive y-values divided by the differences between consecutive x-values are constant, the relationship is linear.

Front

What does it mean if a graph is non-linear?

Back

A non-linear graph indicates that the rate of change is not constant; it varies at different points.