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 slope.

Front

How do you calculate the rate of change?

Back

To calculate the rate of change, use the formula: Rate of Change = (Change in Quantity) / (Change in Time).

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 equal intervals of time.

Front

What is the slope in a linear relationship?

Back

The slope is the rate of change between two points on a line, calculated as the rise over the run.

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 average rate of change from 20 to 40 minutes if the quantity changes from 10 to 0?

Back

-0.5 units per minute (Change in Quantity: 0 - 10 = -10; Change in Time: 40 - 20 = 20; Rate = -10/20 = -0.5).

Front

What is the average rate of change in snowfall from January 8 to January 11 if it changes from 3 inches to 6 inches?

Back

1 inch per day (Change in Snowfall: 6 - 3 = 3 inches; Change in Days: 11 - 8 = 3 days; Rate = 3/3 = 1).

Front

What does it mean if a graph has no slope?

Back

If a graph has no slope, it indicates that there is no change in the quantity over time, meaning it is constant.