Rate of Change

Front

What is the 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 quantity) / (Change in time) or (y2 - y1) / (x2 - x1).

Front

What does a positive rate of change indicate?

Back

A positive rate of change indicates that the quantity is increasing over time.

Front

What does a negative rate of change indicate?

Back

A negative rate of change indicates that the quantity is decreasing over time.

Front

What is a constant rate of change?

Back

A constant rate of change means that the quantity changes by the same amount in each time interval.

Front

What is the average rate of change?

Back

The average rate of change is the total change in a quantity divided by the total time taken.

Front

If Taylor writes 25 words per minute, how many words does he write in 10 minutes?

Back

250 words (25 words/minute * 10 minutes).

Front

What is the rate of change if a car travels 60 miles in 1 hour?

Back

60 miles per hour.

Front

How can you represent rate of change graphically?

Back

Rate of change can be represented as the slope of a line on a graph, where the x-axis represents time and the y-axis represents the quantity.

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.