Rate of Change from a Table

Front

What is the definition of rate of change?

Back

The rate of change is a measure of how much a quantity changes in relation to another quantity, often expressed as a ratio.

Front

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

Back

To calculate the rate of change from a table, divide the change in the dependent variable by the change in the independent variable.

Front

What does a constant rate of change indicate about a relationship?

Back

A constant rate of change indicates that the relationship is linear, meaning it can be represented by a straight line on a graph.

Front

What is the formula for calculating the rate of change?

Back

The formula for calculating the rate of change is: Rate of Change = (Change in y) / (Change in x).

Front

What is a linear relationship?

Back

A linear relationship is one in which the rate of change is constant, resulting in a straight line when graphed.

Front

How can you identify a linear relationship from a table?

Back

You can identify a linear relationship from a table by checking if the rate of change between the values is constant.

Front

What is the significance of a rate of change expressed as a fraction?

Back

A rate of change expressed as a fraction indicates the relationship between two quantities, showing how much one quantity changes for a unit change in another.

Front

What does it mean if the rate of change is negative?

Back

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

Front

How can you interpret a rate of change of $1.50 per pound?

Back

A rate of change of $1.50 per pound means that for every pound of the item, the cost increases by $1.50.

Front

What is the rate of change if a table shows a change of 75 dollars for 1 adult?

Back

The rate of change is 75 dollars per adult, indicating the cost associated with each adult.