### Home > APCALC > Chapter 7 > Lesson 7.3.2 > Problem7-112

7-112.

Which of the following differential equations could model a population whose rate of change is proportional to the existing population? Explain your reasoning. Is it possible that there is more than one answer?

A proportional situation follows the patten: $y = kx$

1. $\frac { d P } { d t }= 3P$

1. $\frac { d P } { d t }= 3t$

1. $\frac { d P } { d t }= −3P$

1. $\frac { d P } { d t }= 3$