record: 170 score: 169 the rate at which the amount of water in a tank is changing can be modeled by the…

record: 170 score: 169 the rate at which the amount of water in a tank is changing can be modeled by the function r(t). which expression would indicate that the amount of water in the tank is decreasing? r(t)>0 r(t)<0 r(t)>0 r(t)<0

record: 170 score: 169 the rate at which the amount of water in a tank is changing can be modeled by the function r(t). which expression would indicate that the amount of water in the tank is decreasing? r(t)>0 r(t)<0 r(t)>0 r(t)<0

Answer

Answer:

B. $R'(t)<0$

Explanation:

Step1: Understand the function meaning

$R(t)$ is the rate - of - change of water amount.

Step2: Recall derivative concept

The derivative $R'(t)$ of the rate - of - change function $R(t)$ gives the rate of change of $R(t)$.

Step3: Determine decreasing condition

If $R'(t)<0$, it means the rate of change of the amount of water (given by $R(t)$) is negative, so the amount of water in the tank is decreasing.