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.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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)

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate?

Back

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

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate?

Back

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

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.HSF-LE.A.1B

Front

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

Back

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

Tags

CCSS.HSF-LE.A.1B

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.

Tags

CCSS.HSF-LE.A.1B

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.

Tags

CCSS.8.EE.B.5