Constant Rate of Change

Front

What is the definition of 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 write an equation for a linear relationship with a constant rate of change?

Back

The equation can be written in the form y = mx + b, where m is the constant rate of change and b is the y-intercept.

Front

What does the slope of a line represent in the context of constant rate of change?

Back

The slope represents the constant rate of change between the two variables, indicating how much one variable changes for a unit change in the other variable.

Front

If a car travels at a constant speed of 60 miles per hour, how far will it travel in 3 hours?

Back

180 miles (calculated as 60 miles/hour * 3 hours).

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity of one per unit of another (e.g., miles per hour).

Front

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

Back

By calculating the difference in the y-values divided by the difference in the x-values for any two points in the table.

Front

What is the formula to calculate the constant rate of change?

Back

The formula is: Rate of Change = (Change in y) / (Change in x).

Front

In the equation y = 19.25x, what does the number 19.25 represent?

Back

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

Front

What is an example of a real-world application of constant rate of change?

Back

Calculating the cost of gas per gallon when the price remains constant.

Front

If a person earns $41 per month, what is the constant rate of change in their earnings?

Back

$41 per month.