When the number of bacteria growing per minut | vedclass

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(C) Bacteria undergo exponential growth under ideal conditions,where the population size $N$ at time $t$ is given by $N_t = N_0 e^{rt}$.Taking the nat

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Upward sloping straight line

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(C) Bacteria undergo exponential growth under ideal conditions,where the population size $N$ at time $t$ is given by $N_t = N_0 e^{rt}$.Taking the natural logarithm on both sides,we get $\ln(N_t) = \ln(N_0) + rt$.This equation is in the form of a straight line $y = mx + c$,where $y = \ln(N_t)$,$x = t$,$m = r$ (growth rate),and $c = \ln(N_0)$.Since the growth rate $r$ is positive,the graph of $\ln(N_t)$ versus time $t$ results in an upward sloping straight line.

When the number of bacteria growing per minute is plotted against time on a logarithmic scale,what shape does the graph take?

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