Rate of Change (Graphs)

Front

What is the rate of change in a graph?

Back

The rate of change in a graph represents how much one quantity changes in relation to another quantity. It is often expressed as a ratio or a slope.

Front

How do you calculate the rate of change from a graph?

Back

To calculate the rate of change, find the change in the vertical axis (rise) and divide it by the change in the horizontal axis (run). The formula is: Rate of Change = Rise / Run.

Front

What does a steeper slope indicate in a graph?

Back

A steeper slope indicates a greater rate of change, meaning that the dependent variable changes more rapidly with respect to the independent variable.

Front

What does a horizontal line on a graph represent?

Back

A horizontal line represents a rate of change of zero, indicating that the dependent variable does not change as the independent variable changes.

Front

What does a vertical line on a graph represent?

Back

A vertical line is not a function and indicates an undefined rate of change, as the dependent variable changes infinitely with no change in the independent variable.

Front

If a graph shows 4 bracelets per girl, what does this mean?

Back

This means that for every girl, 4 bracelets are produced or given.

Front

What does a rate of 2 boys for every 1 girl mean in a graph?

Back

This means that for every 1 girl, there are 2 boys, indicating a ratio of boys to girls.

Front

What is the significance of units in rate of change?

Back

Units in rate of change provide context and meaning to the values, helping to understand the relationship between the quantities being compared.

Front

How can you interpret a rate of change of 1,000 feet per minute?

Back

This means that for every minute, the distance changes by 1,000 feet, indicating a rapid change in distance over time.

Front

What does a rate of 10 miles per week indicate?

Back

This indicates that a distance of 10 miles is covered or traveled in one week.