Rate of Change Review

Front

What is the rate of change?

Back

The rate of change is a measure of how a quantity changes in relation to another quantity, often represented as the slope of a line in a graph.

Front

What is the formula for calculating the slope (rate of change)?

Back

Slope (m) = (change in y) / (change in x) = (y2 - y1) / (x2 - x1)

Front

What does a positive slope indicate?

Back

A positive slope indicates that as one variable increases, the other variable also increases.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

What is a zero slope?

Back

A zero slope indicates that there is no change in y as x changes, meaning the line is horizontal.

Front

What is an undefined slope?

Back

An undefined slope occurs when a line is vertical, meaning there is no change in x as y changes.

Front

How can you determine the rate of change from a table of values?

Back

Calculate the change in y divided by the change in x for two points in the table.

Front

What is the relationship between rate of change and linear functions?

Back

In linear functions, the rate of change (slope) is constant.

Front

What is the rate of change of y with respect to x if y = 3x + 2?

Back

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

Front

How do you interpret the slope in a real-world context?

Back

The slope can represent speed, growth rate, or any other rate of change in a real-world scenario.