Constant Rate of Change

Front

What is the definition of constant rate of change?

Back

The constant rate of change is the rate at which one quantity changes in relation to another quantity, remaining consistent over a specific interval.

Front

How do you calculate the rate of change?

Back

Rate of change = (Change in y) / (Change in x). It represents how much y changes for a unit change in x.

Front

What does a constant slope on a graph indicate?

Back

A constant slope indicates a constant rate of change, meaning the relationship between the variables is linear.

Front

If a graph has a slope of 2, what is the constant rate of change?

Back

The constant rate of change is 2, meaning for every unit increase in x, y increases by 2.

Front

What is the constant rate of change for a graph that increases by 3 lb per person?

Back

The constant rate of change is 3 lb per person.

Front

If a monthly expense increases by $41 each month, what is the constant rate of change?

Back

The constant rate of change is $41 per month.

Front

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

Back

It means the relationship between the variables is non-linear, and the slope varies at different points.

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

If the rate of change is 6, what does this imply about the relationship between the variables?

Back

It implies that for every unit increase in x, y increases by 6.

Front

What is the formula for finding the slope of a line?

Back

Slope (m) = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.