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 calculate the rate of change?

Back

The rate of change is calculated by dividing the change in the dependent variable by the change in the independent variable, often expressed as (y2 - y1) / (x2 - x1).

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

If a car travels 120 miles in 2 hours, what is its constant speed?

Back

The constant speed is 60 miles per hour, calculated as 120 miles / 2 hours.

Front

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

Back

The slope of a line represents the rate of change between the two variables plotted on the graph.

Front

How can you express a constant rate of change in an equation?

Back

A constant rate of change can be expressed in the form of a linear equation, typically y = mx + b, where m is the slope (rate of change) and b is the y-intercept.

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

If a person earns $15 per hour, how much will they earn in 8 hours?

Back

They will earn $120, calculated as $15/hour * 8 hours.

Front

What is the formula for finding the total distance traveled at a constant speed?

Back

The formula is Distance = Speed x Time.

Front

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

Back

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