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 determine if a relationship is linear from a table of values?

Back

A relationship is linear if the rate of change between any two points is constant.

Front

What is the formula for calculating the rate of change between two points (x1, y1) and (x2, y2)?

Back

Rate of change = (y2 - y1) / (x2 - x1).

Front

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

Back

A constant rate of change indicates that the relationship is linear.

Front

If the rate of change is 6/1, what does this mean in practical terms?

Back

It means that for every 1 unit increase in the independent variable, the dependent variable increases by 6 units.

Front

What does it mean if the rate of change is described as 'not constant'?

Back

It means that the relationship between the variables is nonlinear, and the change in the dependent variable varies with the independent variable.

Front

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

Back

By calculating the difference in the dependent variable divided by the difference in the independent variable for two points.

Front

What is an example of a rate of change in a real-world context?

Back

An example is the cost of apples per pound, which might be $1.50 per pound.

Front

What is the significance of a rate of change of $75 per adult in a pricing table?

Back

It indicates that for each adult, the cost increases by $75, which can be used for budgeting or pricing strategies.

Front

How can a calculator assist in finding the rate of change?

Back

A calculator can be used to perform the arithmetic calculations needed to find the differences in values.