Answer
(a) $120$
(b) $40$
(c) $22$
(d) $84$
(e) $146$
(f) See graph, August
Work Step by Step
(a) January, $x=1$ and $V(1)=2(1)^2-32(1)+150=120$
(b) May $x=5$ and $V(5)=2(5)^2-32(5)+150=40$
(c) August $x=8$ and $V(8)=2(8)^2-32(8)+150=22$ or $V(8)=31(8)-226=22$
(d) October $x=10$ and $V(10)=31(10)-226=84$
(e) December $x=12$ and $V(12)=31(12)-226=146$
(f) See graph, we can identify that in August there are the fewest volunteers available.
