### Home > CALC > Chapter Ch10 > Lesson 10.1.7 > Problem 10-67

10-67.

The rabbits in your neighbor's backyard are reproducing at a rate proportional to the number present. Today there are 32 rabbits. Two weeks ago there were only 20. When will there be 200 rabbits? Homework Help ✎

If *P* = rabbit population, then:

Use separation of variables then integrate to obtain:

Solve for *C* and *k*:

Solve for *t*: