Comparing Rate of Change

Front

What is the rate of change (slope)?

Back

The rate of change (slope) is a measure of how much a quantity changes in relation to another quantity. It is often represented as 'rise over run' in a graph.

Front

How do you calculate the rate of change?

Back

To calculate the rate of change, use the formula: Rate of Change = (Change in y) / (Change in x).

Front

What does a positive rate of change indicate?

Back

A positive rate of change indicates that as one quantity increases, the other quantity also increases.

Front

What does a negative rate of change indicate?

Back

A negative rate of change indicates that as one quantity increases, the other quantity decreases.

Front

What is the slope of a line that rises 3 units for every 4 units it runs?

Back

The slope is 3/4.

Front

If a raft rental costs $15 for 1 hour and $30 for 2 hours, what is the rate of change?

Back

The rate of change is $15 per hour.

Front

What is the significance of the slope in real-life situations?

Back

The slope can represent rates such as speed, cost per item, or growth rates in various contexts.

Front

If CJ has a rate of change of 13/2 and Holland has a rate of change of 6, who has the greater rate of change?

Back

CJ has the greater rate of change with 13/2.

Front

What is the rate of change if a car travels 100 miles in 2 hours?

Back

The rate of change is 50 miles per hour.

Front

If a panda grows 2 inches in 1 month, what is its rate of growth?

Back

The rate of growth is 2 inches per month.