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 can you determine if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it passes through the origin (0,0) and is a straight line.

Front

What is the formula for calculating the rate of change?

Back

The rate of change can be calculated using the formula: Rate of Change = (Change in y) / (Change in x).

Front

What does a slope of 4 CALORIES PER MIN indicate?

Back

It indicates that for every minute, the quantity of calories changes by 4.

Front

How do you interpret a constant rate of change in a real-world context?

Back

In a real-world context, a constant rate of change can represent consistent speed, growth, or decline in various scenarios, such as speed in travel or growth in savings.

Front

What is the significance of the slope in a linear graph?

Back

The slope of a linear graph indicates the rate of change between the two variables represented on the axes.

Front

What does it mean if one company shows a greater rate of change than another?

Back

It means that the first company is experiencing a faster increase or decrease in a particular quantity compared to the second company.

Front

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

Back

To identify the rate of change from a table, calculate the difference in the dependent variable divided by the difference in the independent variable for two points.

Front

What is the relationship between proportional relationships and linear equations?

Back

Proportional relationships can be expressed as linear equations in the form y = kx, where k is the constant of proportionality.

Front

What does it mean for a graph to be linear?

Back

A linear graph is one that forms a straight line, indicating a constant rate of change between the variables.