8th Grade Rate of Change Review

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 fraction.

Front

How do you calculate the rate of change between two points?

Back

To calculate the rate of change between two points (x1, y1) and (x2, y2), use the formula: Rate of Change = (y2 - y1) / (x2 - x1).

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

What is the rate of change for the function y = 2x + 3?

Back

The rate of change is 2, which means for every 1 unit increase in x, y increases by 2 units.

Front

If the rate of change is 1/2 dollar per ticket, what does this mean?

Back

It means that for each ticket sold, the revenue increases by 1/2 dollar.

Front

Calculate the rate of change if a car travels 60 miles in 1 hour.

Back

The rate of change is 60 miles per hour.

Front

What is the rate of change for the table below? (Assuming values increase by 3 for every increase of 1 in x)

Back

The rate of change is 3.

Front

If the rate of change is -4, what does this indicate about the relationship between the two quantities?

Back

It indicates that as one quantity increases, the other quantity decreases at a rate of 4.

Front

What is the significance of a rate of change of 0?

Back

A rate of change of 0 indicates that there is no change in the quantity; it remains constant.