SLOPE AS RATE OF CHANGE

Front

What is the definition of slope as a rate of change?

Back

Slope as a rate of change measures how much one quantity changes in relation to another quantity, often represented as 'rise over run'.

Front

What does a constant rate of change look like on a graph?

Back

A constant rate of change is represented by a straight line on a graph.

Front

How do you calculate the rate of change from a table of values?

Back

Rate of change is calculated by finding the change in y-values divided by the change in x-values.

Front

What is the formula for calculating slope?

Back

Slope (m) = (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are two points on the line.

Front

If a climber ascends from 400 feet to 700 feet over 4 hours, what is the average rate of change?

Back

The average rate of change is 75 feet per hour.

Front

What does 'rise over run' mean in the context of slope?

Back

'Rise over run' refers to the vertical change (rise) divided by the horizontal change (run) between two points on a line.

Front

What is an example of a situation with a negative slope?

Back

A situation where a car is moving downhill, indicating a decrease in elevation over time.

Front

What is the significance of a slope of zero?

Back

A slope of zero indicates that there is no change in the y-value as the x-value changes, represented by a horizontal line.

Front

How can you determine if a graph represents a positive or negative slope?

Back

A positive slope rises from left to right, while a negative slope falls from left to right.

Front

What is the rate of change if a worker earns $50 for 5 hours of work?

Back

The rate of change is $10 per hour.