Rate of Change

Front

What is the definition of rate of change?

Back

The rate of change is a measure of how a quantity changes in relation to another quantity, often expressed as the change in the dependent variable divided by the change in the independent variable.

Front

What is the formula for calculating the rate of change?

Back

Front

How do you find the slope of a line?

Back

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases.

Front

What is the slope of the line that passes through the points (1, 2) and (3, 6)?

Back

The slope is 2.

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates of change in various contexts, such as speed, growth rates, and financial trends.

Front

What is the meaning of 'rise over run'?

Back

'Rise over run' refers to the vertical change (rise) divided by the horizontal change (run) between two points on a line.

Front

How can you determine the rate of change from a graph?

Back

Front

What is the rate of change if y changes from 3 to 7 and x changes from 2 to 5?

Back