QSE1- A.3B Rate of Change/Slope

Front

What is the rate of change?

Back

The rate of change describes how much a quantity changes in relation to another quantity, often represented as a slope in a graph.

Front

How is slope defined in mathematics?

Back

Slope is defined as the ratio of the vertical change (rise) to the horizontal change (run) between two points on a line.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as one variable increases, the other variable also increases.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the slope of a line that rises 4 units for every 2 units it runs?

Back

The slope is 2 (4/2 = 2).

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal, indicating no change in the y-value as the x-value changes.

Front

What is the unit of measurement for slope in a real-world context?

Back

The unit of measurement for slope can vary; it often represents a ratio such as 'miles per hour' or 'dollars per item'.

Front

If Jack is 43 feet away from the Giant after 5 seconds and 58 feet away after 10 seconds, what is the rate of change?

Back

The rate of change is 3 feet per second.

Front

What does a slope of -0.25 kilograms per minute indicate in a real-world scenario?

Back

It indicates that the quantity is decreasing by 0.25 kilograms every minute.