Constant Rate of Change

Front

What is the constant rate of change?

Back

The constant rate of change is the ratio of the change in the dependent variable to the change in the independent variable, indicating how much one quantity changes in relation to another.

Front

What does a graph with a constant rate of change look like?

Back

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

Front

What is the formula for calculating the constant rate of change?

Back

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

Front

What does the y-intercept represent in a linear graph?

Back

The y-intercept represents the value of the dependent variable when the independent variable is zero.

Front

If a graph shows a constant rate of change of 3 lb per person, what does this mean?

Back

It means that for every additional person, the total weight increases by 3 pounds.

Front

How can you determine if a graph has a constant rate of change?

Back

You can determine if a graph has a constant rate of change by checking if the slope between any two points on the line is the same.

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio, meaning they increase or decrease together at the same rate.

Front

What does it mean if a graph does not go through the origin?

Back

If a graph does not go through the origin, it indicates that there is a non-zero y-intercept, meaning there is an initial value when the independent variable is zero.

Front

In the context of rates, what does 'rate of change' refer to?

Back

Rate of change refers to how much one quantity changes in relation to another quantity over a specific interval.

Front

If Tony biked 12 miles in 3 weeks, what is his rate of change?

Back

His rate of change is 4 miles per week (12 miles / 3 weeks).