Finding Rate of Change

Front

What is the definition of rate of change?

Back

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

Front

What is another term for rate of change in mathematics?

Back

Slope.

Front

How do you calculate the rate of change from a graph?

Back

The rate of change can be calculated by finding the slope of the line, which is the change in the y-values divided by the change in the x-values.

Front

In the context of temperature change, how would you express a rate of change?

Back

The rate of change in temperature can be expressed in degrees per hour.

Front

If a family drinks 5 bottles of water per day from a case of 48 bottles, what is the rate of change?

Back

5 bottles per day.

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

How can you represent a rate of change in an equation?

Back

A rate of change can be represented in an equation as y = mx + b, where m is the slope (rate of change).

Front

What is the rate of change for a cheetah that travels 40 miles in one hour?

Back

40 miles per hour.

Front

If Justin's savings account increases by $2 each week, what is the rate of change?

Back

$2 per week.