Rate of Change (Graphs)

Front

What is the rate of change?

Back

The rate of change is a measure of how much a quantity changes in relation to another quantity. It is often represented as a ratio or a slope on a graph.

Front

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

Back

To calculate the rate of change from a graph, find the change in the vertical axis (y-axis) and divide it by the change in the horizontal axis (x-axis). This is often referred to as 'rise over run'.

Front

What does a steeper slope on a graph indicate about the rate of change?

Back

A steeper slope indicates a greater rate of change. This means that for each unit change in the x-axis, there is a larger change in the y-axis.

Front

What does a flat line on a graph represent in terms of rate of change?

Back

A flat line indicates a rate of change of zero, meaning that the quantity on the y-axis does not change as the quantity on the x-axis changes.

Front

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

Back

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

Front

What is the significance of the units in a rate of change?

Back

Units in a rate of change provide context and meaning to the numbers. They indicate what is being measured and how it relates to the quantities involved.

Front

How can you interpret a rate of change of $2 per pound?

Back

This means that for every pound of an item, the cost increases by $2.

Front

What does a negative rate of change indicate?

Back

A negative rate of change indicates that as one quantity increases, the other quantity decreases.

Front

What is the formula for calculating the slope of a line on a graph?

Back

The formula for calculating the slope (m) is m = (change in y) / (change in x).

Front

How does the rate of change relate to real-world situations?

Back

The rate of change can be used to analyze trends in various real-world situations, such as speed, cost, and production rates.