Rate of Change

Front

What is the definition of rate of change?

Back

The rate of change is a measure of how much a quantity changes in relation to another quantity, often expressed as a ratio or a fraction.

Front

How do you calculate the rate of change?

Back

Rate of change = (Change in value) / (Change in time) or (Change in y) / (Change in x).

Front

What does a positive rate of change indicate?

Back

A positive rate of change indicates that as one quantity increases, the other quantity also increases.

Front

What does a negative rate of change indicate?

Back

A negative rate of change indicates that as one quantity increases, the other quantity decreases.

Front

If the rate of change is 6, what does this mean in a practical context?

Back

It means that for every unit increase in the independent variable, the dependent variable increases by 6 units.

Front

What is the rate of change of a line with a slope of -2/3?

Back

The rate of change is -2/3, indicating that for every 3 units increase in x, y decreases by 2 units.

Front

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

Back

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

Front

Calculate the rate of change if a car travels 120 miles in 2 hours.

Back

Rate of change = 120 miles / 2 hours = 60 miles per hour.

Front

What is the rate of change if a plant grows 5 inches in 4 weeks?

Back

Rate of change = 5 inches / 4 weeks = 1.25 inches per week.

Front

If a function has a constant rate of change, what type of function is it?

Back

It is a linear function.