Rate of Change (Graphs)

Front

What is the rate of change in a graph?

Back

The rate of change in a graph represents how much one quantity changes in relation to another quantity. It is often expressed as a ratio or a slope.

Front

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

Back

To calculate the rate of change, find the change in the vertical direction (rise) and divide it by the change in the horizontal direction (run). The formula is: Rate of Change = Rise / Run.

Front

What does a steeper slope indicate in a graph?

Back

A steeper slope indicates a greater rate of change, meaning that the dependent variable changes more rapidly with respect to the independent variable.

Front

What is a constant rate of change?

Back

A constant rate of change means that the quantity changes at a steady rate, resulting in a straight line when graphed.

Front

What is the unit of measurement for rate of change?

Back

The unit of measurement for rate of change depends on the quantities being compared, such as meters per second, miles per hour, or dollars per movie.

Front

If a graph shows 4 place settings in each box, what is the rate of change?

Back

The rate of change is 4 place settings per box.

Front

If a graph shows a speed of 2 meters per second, what does this mean?

Back

This means that for every second that passes, the object moves 2 meters.

Front

What does a rate of 40 miles per hour indicate?

Back

It indicates that an object travels 40 miles for every hour of travel.

Front

If a graph shows 10 miles per week, what does this represent?

Back

This represents a constant rate of change where the distance increases by 10 miles every week.

Front

What does a rate of $5 per movie mean?

Back

It means that for each movie watched, the cost is $5.