The number C of chipmunks in a small rural township t days after May 1, 2015, follows the logistic model $\frac { d C } { d t } = 1.56 C \left( 1 - \frac { C } { 2,000 } \right)$ . The number of chipmunks recorded on May 1, 2015, was 775. How many chipmunks were initially present in this scenario?

A)1.56 thousand chipmunks
B) $1 - \frac { C } { 2,000 }$ chipmunks
C) $\frac { 1.56 } { 2,000 }$ chipmunks
D)2,000 chipmunks
E)775 chipmunks

Question

The number C of chipmunks in a small rural township t days after May 1, 2015, follows the logistic model

\frac { d C } { d t } = 1.56 C \left( 1 - \frac { C } { 2,000 } \right)

. The number of chipmunks recorded on May 1, 2015, was 775. How many chipmunks were initially present in this scenario?

A)1.56 thousand chipmunks
B) $1 - \frac { C } { 2,000 }$ chipmunks
C) $\frac { 1.56 } { 2,000 }$ chipmunks
D)2,000 chipmunks
E)775 chipmunks

Quizplus · Accepted Answer

The initial number of chipmunks present in this scenario is given as 775, which corresponds to the number of chipmunks recorded on May 1, 2015.

The Number C of Chipmunks in a Small Rural Township dCdt=1.56C(1−C2,000)\frac { d C } { d t } = 1.56 C \left( 1 - \frac { C } { 2,000 } \right)dtdC​=1.56C(1−2,000C​)