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. It is often expressed as a ratio or a unit rate.

Front

Define unit rate.

Back

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

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

How do you calculate the rate of change between two points (x1, y1) and (x2, y2)?

Back

Rate of change = (y2 - y1) / (x2 - x1). This formula calculates the slope of the line connecting the two points.

Front

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

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

Front

If a car travels 120 miles in 2 hours, what is the unit rate of speed?

Back

60 miles per hour.

Front

What does the point (3, 27) represent in a context of shirts and price?

Back

The point (3, 27) represents $27 for 3 shirts.

Front

What is the rate of change if a line rises 4 units for every 2 units it runs?

Back

The rate of change is 2 (4 units/2 units).

Front

How can you interpret a rate of change of $20 each week?

Back

It means that for every week that passes, the quantity increases by $20.

Front

What is the rate of change if a car's speed decreases from 60 mph to 30 mph in 1 hour?

Back

The rate of change is -30 mph (a decrease of 30 mph).