Constant Rate of Change

Front

What is a constant rate of change?

Back

A constant rate of change refers to a situation where the change in one quantity is consistent with the change in another quantity over a specific interval.

Front

How do you calculate the rate of change between two points?

Back

The rate of change can be calculated by taking the difference in the values of the dependent variable and dividing it by the difference in the values of the independent variable.

Front

What is the formula for rate of change?

Back

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

Front

In the context of a graph, what does a constant rate of change look like?

Back

A constant rate of change is represented by a straight line on a graph, indicating that the relationship between the variables is linear.

Front

What is an example of a real-world scenario that demonstrates a constant rate of change?

Back

An example is a car traveling at a constant speed of 60 miles per hour; the distance traveled increases consistently over time.

Front

What does it mean if a table shows a constant rate of change?

Back

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

Front

How can you identify a constant rate of change from a table of values?

Back

By checking if the differences between consecutive values of the dependent variable are the same for equal increments of the independent variable.

Front

What is the significance of the slope in a linear equation?

Back

The slope represents the rate of change; it indicates how much the dependent variable changes for a unit change in the independent variable.

Front

What is the relationship between rate of change and slope in a graph?

Back

The rate of change is equal to the slope of the line on a graph, which shows how steep the line is.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a single unit.