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The population P of a culture of bacteria is described by the equation P left parenthesis t right parenthesis equals 1200 e to the power of 0.052 t end exponent, where t is the time, in hours, relative to the time at which the population was 1200. What was the population at t = 6 hours?

Respuesta :

as per question statement

we need to set up an equation first

[tex] p(t)=1200e^(0.052*t) [/tex]

they have given that it is relative to 1200 that means it starts to increase from 1200 at t=0 initially 1200 bacteria were present

we need to find population at t=6

we need to plug t=6 in p(t).

[tex] P(6)=1200e^(0.052*6)=1639.38 [/tex]

1638.38 bacteria were present at that time t=6

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