Assignment 7.4A Constant Rate of Change

Front

What is a constant rate of change?

Back

A constant rate of change refers to a situation where the change in one quantity is consistent with the change in another quantity over time, often represented as a linear relationship.

Front

How do you identify a constant rate of change from a graph?

Back

A constant rate of change can be identified from a graph as a straight line, where the slope of the line represents the rate of change.

Front

What is the formula for calculating the rate of change?

Back

Rate of change = (Change in y) / (Change in x) or (y2 - y1) / (x2 - x1).

Front

What does the slope of a line represent in a linear equation?

Back

The slope of a line represents the rate of change between the two variables in the equation.

Front

If y = 19.25x, what does 19.25 represent?

Back

In the equation y = 19.25x, 19.25 represents the constant rate of change, indicating that for every unit increase in x, y increases by 19.25.

Front

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

Back

The y-intercept is the value of y when x is 0, representing the starting point of the relationship on a graph.

Front

How can you determine if a situation is represented correctly in a graph?

Back

To determine if a situation is represented correctly in a graph, check if the graph's slope and y-intercept match the context of the problem.

Front

What does it mean if a graph is increasing?

Back

An increasing graph indicates that as the x-values increase, the y-values also increase, showing a positive rate of change.

Front

What does it mean if a graph is decreasing?

Back

A decreasing graph indicates that as the x-values increase, the y-values decrease, showing a negative rate of change.

Front

What is the relationship between the rate of change and the steepness of a line?

Back

The steeper the line, the greater the rate of change; a flatter line indicates a smaller rate of change.