Constant Rate of Change Practice

Front

What is a constant rate of change?

Back

A constant rate of change means that the quantity changes by the same amount over equal intervals of time. It is often represented by a straight line on a graph.

Front

How can you identify a constant rate of change in a graph?

Back

A constant rate of change is identified by a straight line on a graph, indicating that the y-value changes at a consistent rate as the x-value increases.

Front

What does the slope of a line represent in a graph?

Back

The slope of a line represents the rate of change between the two variables plotted on the graph. A positive slope indicates an increase, while a negative slope indicates a decrease.

Front

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

Back

The formula for calculating the slope (m) is: m = (change in y) / (change in x).

Front

What is a table of values in relation to constant rate of change?

Back

A table of values shows pairs of x and y values that represent a relationship. For a constant rate of change, the differences between y-values divided by the differences between x-values will be constant.

Front

How can you determine if a table represents a constant rate of change?

Back

To determine if a table represents a constant rate of change, calculate the differences between consecutive y-values and the corresponding x-values. If the ratio is constant, it represents a constant rate of change.

Front

What does a horizontal line on a graph indicate?

Back

A horizontal line indicates that the y-value remains constant as the x-value changes, meaning there is no rate of change.

Front

What does a vertical line on a graph indicate?

Back

A vertical line indicates that the x-value remains constant as the y-value changes, which is not a function.

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. It represents the value of y when x is zero.

Front

What is the difference between a linear and a nonlinear graph?

Back

A linear graph represents a constant rate of change and forms a straight line, while a nonlinear graph represents a variable rate of change and forms a curve.