Rate of Change

Front

What is the formula for calculating the average rate of change between two points?

Back

Average Rate of Change = (Change in y) / (Change in x)

Front

Define 'rate of change' in mathematical terms.

Back

Rate of change is the ratio of the change in the dependent variable (y) to the change in the independent variable (x).

Front

What does a negative rate of change indicate about a function's behavior?

Back

A negative rate of change indicates that the function is decreasing.

Front

If a function has a constant rate of change, what type of function is it?

Back

It is a linear function.

Front

How do you interpret a rate of change of -2 gallons per minute in a real-world context?

Back

It means that the quantity is decreasing by 2 gallons for every minute that passes.

Front

What is the significance of the slope in a graph regarding rate of change?

Back

The slope of a graph represents the rate of change between the variables.

Front

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

Back

Calculate the difference in y-values divided by the difference in x-values for two points.

Front

What is the constant rate of change if a quantity increases by $5 every hour?

Back

The constant rate of change is $5 per hour.

Front

What does a rate of change of -15 feet per minute suggest about the situation being modeled?

Back

It suggests that the quantity is decreasing at a rate of 15 feet for every minute.

Front

In the context of a graph, what does a horizontal line indicate about the rate of change?

Back

A horizontal line indicates a rate of change of zero; the quantity is constant.