Unit 4 Review

Front

What is the rate of change?

Back

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

Front

How do you determine who has a greater rate of change between two individuals?

Back

To determine who has a greater rate of change, compare the slopes of their respective graphs or calculate the change in their quantities over a specific time period.

Front

What does a steeper slope on a graph indicate?

Back

A steeper slope indicates a greater rate of change, meaning the quantity is changing more rapidly.

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph, indicating a constant rate of change.

Front

What is the formula for calculating the slope of a line?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does it mean if two lines on a graph are parallel?

Back

If two lines are parallel, they have the same slope and therefore the same rate of change, but they do not intersect.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of the dependent variable when the independent variable is zero.

Front

How can you represent a real-life situation with a graph?

Back

You can represent a real-life situation with a graph by identifying the variables involved, determining how they change in relation to each other, and plotting the data points accordingly.

Front

What is a piecewise function?

Back

A piecewise function is a function that has different expressions or rules for different intervals of its domain.

Front

What does it mean for a graph to be nonlinear?

Back

A nonlinear graph does not form a straight line and indicates that the rate of change is not constant.