The population P of a culture of bacteria is described by the equation $P = 1300 e ^ { 0.052 t }$ , where t is the time, in hours, relative to the time at which the population was 1300.What was the population at $t = 3$ hours?
A) $P ( 3 ) \approx 1419$
B) $P ( 3 ) \approx 1519$
C) $P ( 3 ) \approx 1319$
D) $P ( 3 ) \approx 1619$
E) $P ( 3 ) \approx 1719$

Question

The population P of a culture of bacteria is described by the equation $P = 1300 e ^ { 0.052 t }$ , where t is the time, in hours, relative to the time at which the population was 1300.What was the population at $t = 3$ hours?  
A) $P ( 3 ) \approx 1419$
B) $P ( 3 ) \approx 1519$
C) $P ( 3 ) \approx 1319$
D) $P ( 3 ) \approx 1619$
E) $P ( 3 ) \approx 1719$

Quizplus · Accepted Answer

To find the population at $t = 3$ hours, substitute $t = 3$ into the given equation: $P = 1300 e^{0.052 \times 3}$. Calculating this gives $P \approx 1519$.

The Population P of a Culture of Bacteria Is Described P=1300e0.052tP = 1300 e ^ { 0.052 t }P=1300e0.052t

The Population P of a Culture of Bacteria Is Described $P = 1300 e ^ { 0.052 t }$