APFIVE Balloon Volume Rate of Change
The volume of air in a balloon at time $$t$$, in minutes, is modeled by
$$ V(t) = 50 + 20t - 2t^2 \quad \text{for } 0 \leq t \leq 8. $$
At what rate, in cubic units per minute, is the volume of air in the balloon changing at time $$t = 3$$ minutes?
A
14
B
8
C
−4
D
20
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