Math 8 Unit 3: Identify the Constant Rate of Change

Front

What is the constant rate of change?

Back

The constant rate of change is the rate at which one quantity changes in relation to another. It is often represented as the slope in a linear equation.

Front

In the equation y = mx + b, what does 'm' represent?

Back

'm' represents the constant rate of change or slope of the line.

Front

How do you find the constant rate of change from a graph?

Back

To find the constant rate of change from a graph, select two points on the line, calculate the change in y (vertical) and the change in x (horizontal), and divide the change in y by the change in x.

Front

What is the formula for calculating the slope (constant rate of change)?

Back

The formula is: Slope (m) = (y2 - y1) / (x2 - x1).

Front

If a graph shows a straight line, what does that indicate about the rate of change?

Back

A straight line indicates a constant rate of change.

Front

What does a steeper slope indicate about the rate of change?

Back

A steeper slope indicates a greater rate of change.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant factor that relates two proportional quantities, often represented as 'k' in the equation y = kx.

Front

If a table shows a profit of $30 for 3 hours of work, what is the rate of change?

Back

The rate of change is $10 per hour.

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 determine the constant rate of change from a table of values?

Back

To determine the constant rate of change from a table, find the difference in the y-values and divide it by the difference in the x-values for any two points.