CPM Homework Help : CALC Problem 12-24

Multiple Choice: The graph below shows the growth of a population $P$ of sea lions introduced near a remote island. A reasonable differential equation to model this growth is:

Hint:

By looking at the graph:
Which equation satisfies these conditions?

$\frac { d P } { d t } = \frac { 1 } { 800 } P ( 400 - P )$

$\frac { d P } { d t } = \frac { 1 } { 400 } P ( 800 - P )$

$\frac { d P } { d t } = \frac { 1 } { 800 } P$

$\frac { d P } { d t } = \frac { 1 } { 400 } ( 800 - P )$

$\frac { d P } { d t } = \frac { 1 } { 800 } ( 400 - P )$