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.
Chat with our AI personalities
It is a unit rate.A unit rate.
The unit rate of change of d with respect to t is the slope of the line representing the relationship between d and t. It indicates how much d changes for every one unit change in t. Mathematically, it is calculated as the change in d divided by the change in t, often denoted as Δd/Δt. This value represents the instantaneous rate of change at a specific point on the curve.
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.
Indeterminate since we are not given the time units to compute the rate, which is in the form change in quantity / time.
A rate is something that happens frequently, while a unit rate is an individual digit.