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

question 37

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

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