Rate of Change

Front

What is the definition of 'Rate of Change'?

Back

The rate of change is a measure of how much a quantity changes in relation to another quantity, often expressed as a slope in a graph.

Front

How do you calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

Find the slope of the line that passes through the points (2, 4) and (6, 12).

Back

2

Front

What is the slope of a line that decreases as you move from left to right?

Back

Negative slope.

Front

What is the slope of a line that increases as you move from left to right?

Back

Positive slope.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in the y-value as the x-value changes.

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

Which statement represents a unit rate: 60, 120, 0, or 1?

Back

60

Front

What is the constant rate of change between the quantities in the table if the values increase by $5 for each hour?

Back

$5 per hour.

Front

What is the formula for finding the rate of change from a graph?

Back

Rate of Change = Change in y / Change in x.