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What is an example of a negative rate of change?
a car braking is a negative rate of velocity change
What is an example of a positive rate of change?
a car going from stoplight to next intersection accelerates at a positive rate of velocity change
What is the unit of measure for the average rate of change?
It would depend on what is changing and on what timescale. For example, the rate of change of speed (acceleration) can be either ms-2 or miles/hour2.
What is an example of constant rate of change?
A constant rate of change is anything that increases or decreases by the same amount for every trial. Therefore an example could be driving down the highway at a speed of exactly 60 MPH. If your speed doesn't change you are driving at a constant rate. Here's another: your cell phone company charges you $0.55 for every minute you use. The rate that you are charged always stays the same so it is a constant rate of change. Anything that goes up by X number of units for every Y value every time is a constant rate of change.
What is unit rate of change?
The unit of rate of change is whatever it is that is changing, divided by time units. For example, if you measure rate of change of dollars in your bank account, you would have something like dollars / month; for acceleration, the unit commonly used is (meters / second) / second, etc.
