record: 193 score: 193 the amount of water in a tank can be modeled by the function w(t). which expression…

record: 193 score: 193 the amount of water in a tank can be modeled by the function w(t). which expression would indicate that the amount of water in the tank is increasing? w(t) < 0 w(t) < 0 w(t) > 0 w(t) > 0

record: 193 score: 193 the amount of water in a tank can be modeled by the function w(t). which expression would indicate that the amount of water in the tank is increasing? w(t) < 0 w(t) < 0 w(t) > 0 w(t) > 0

Answer

Answer:

D. $W'(t)>0$

Explanation:

Step1: Recall derivative meaning

The derivative $W'(t)$ of a function $W(t)$ represents the rate of change of the function $W(t)$ with respect to $t$.

Step2: Analyze increasing - function condition

If a function $y = f(x)$ is increasing on an interval, then its derivative $f'(x)>0$ on that interval. Here, $W(t)$ models the amount of water in the tank, and for the amount of water to be increasing, the rate of change of the amount of water (which is $W'(t)$) must be positive. So when $W'(t)>0$, the amount of water in the tank is increasing.