Constant Rate of Change

Front

What is a constant rate of change?

Back

A constant rate of change refers to a situation where the change in one quantity is consistent with the change in another quantity over time, often represented as a linear relationship.

Front

What are the units for measuring speed?

Back

Speed is typically measured in units of distance over time, such as miles per hour (mph) or kilometers per hour (km/h).

Front

How do you calculate the rate of change?

Back

The rate of change is calculated by dividing the change in the dependent variable by the change in the independent variable, often expressed as (change in y) / (change in x).

Front

What does the point (3, 27) represent in a context of shirts and cost?

Back

The point (3, 27) represents that the cost of 3 shirts is $27.

Front

What is the significance of a linear equation in the context of rate of change?

Back

A linear equation, such as y = mx + b, represents a constant rate of change, where m is the slope indicating how much y changes for a unit change in x.

Front

What does the slope of a line represent in a graph?

Back

The slope of a line represents the rate of change between the two variables plotted on the graph.

Front

How can you identify a constant rate of change from a table of values?

Back

A constant rate of change can be identified in a table of values if the difference in the dependent variable (y) is the same for equal increments in the independent variable (x).

Front

What is the formula for the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The formula for the slope (m) is m = (y2 - y1) / (x2 - x1).

Front

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

Back

A positive rate of change indicates that as the independent variable increases, the dependent variable also increases.

Front

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

Back

A negative rate of change indicates that as the independent variable increases, the dependent variable decreases.