Rate of Change Tables Assessment

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise/run).

Tags

CCSS.8.EE.B.5

Front

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

Back

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

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Tags

CCSS.8.EE.B.5

Front

What is a constant rate of change?

Back

A constant rate of change means that the change in the dependent variable (y) is consistent for each unit change in the independent variable (x).

Tags

CCSS.HSF-LE.A.1B

Front

What does it mean if a rate of change is non-linear?

Back

A non-linear rate of change means that the change in the dependent variable does not occur at a constant rate, often represented by a curve on a graph.

Tags

CCSS.HSF-LE.A.1B

Front

How can you determine the rate of change from a table of values?

Back

To determine the rate of change from a table, calculate the difference in y-values divided by the difference in x-values for each pair of points.

Tags

CCSS.HSF-LE.A.1B

Front

What is the formula for finding the rate of change in a linear function?

Back

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

Tags

CCSS.HSF-LE.A.1B

Front

If a table shows values increasing by 5 for every hour, what is the rate of change?

Back

The rate of change is $5 per hour.

Tags

CCSS.HSF-LE.A.1B

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates such as speed, cost per item, or any other ratio of change between two quantities.

Tags

CCSS.8.EE.B.5