The Time in Days $t = 0$ ) Is 1,500 $t$

Multiple Choice

$\text { Suppose a population of bacteria is changing at a rate of } \frac { d p } { d t } = \frac { 4,000 } { 1 + 0.5 t } \text {, where } t \text { is }$ the time in days. The initial population (when $t = 0$ ) is 1,500 . Identify an equation that gives the population at any time $t$ and use it to find the population when $t = 5$ days. Round your answer to the nearest integer.

A) 12,783
B) 11,525
C) 13,533
D) 10,772
E) 11,522