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Identify the correct statements about rates of change. It is possible for the average rate of change to be equal to the instantaneous rate of change. The instantaneous velocity at

`t_(0)`

is equal to the limit as

`\Delta t->0`

of the average velocity. The average rate of change of the function

`s(t)`

over the interval

`t_(0),t_(1)`

is

`(s(t_(0))-s(t_(1)))/(t_(1)-t_(0))`

. The average velocity over the interval

`t_(0),t_(1)`

is the slope of the tangent line at

`t_(0)`

. The instantaneous velocity of an object is equivalent to the instantaneous rate of change of the position function.