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 quantity on the vertical axis changes more rapidly in relation to the quantity on the horizontal axis.

Front

What does a flat line represent in a graph?

Back

A flat line represents a rate of change of zero, indicating that there is no change in the quantity on the vertical axis as the quantity on the horizontal axis changes.

Front

What is the unit of measurement for rate of change?

Back

The unit of measurement for rate of change depends on the quantities being compared, such as dollars per movie, miles per hour, or feet per minute.

Front

If a graph shows a rate of change of 5 miles per hour, what does this mean?

Back

This means that for every hour that passes, the distance increases by 5 miles.

Front

What is the significance of the y-intercept in a rate of change graph?

Back

The y-intercept represents the starting value of the quantity on the vertical axis when the quantity on the horizontal axis is zero.

Front

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

Back

To identify the rate of change from a table, calculate the difference in the y-values and divide it by the difference in the x-values for two points.

Front

What does a negative slope indicate in a graph?

Back

A negative slope indicates that as one quantity increases, the other quantity decreases, showing an inverse relationship.

Front

What is a proportional relationship in the context of rate of change?

Back

A proportional relationship means that the rate of change is constant, and the graph is a straight line that passes through the origin.