A bacterial population grows at a constant ra | vedclass

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(C) The growth of a bacterial population under ideal conditions follows an exponential growth model, represented by the equation $N_t = N_0 e^{rt}$.Ta

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$A$ straight line with a positive slope

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(C) The growth of a bacterial population under ideal conditions follows an exponential growth model, represented by the equation $N_t = N_0 e^{rt}$.Taking the natural logarithm on both sides, we get $\ln(N_t) = \ln(N_0) + rt$.This equation is in the form of a linear equation $y = mx + c$, where $y = \ln(N_t)$, $x = t$ (time), $m = r$ (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 a straight line with a positive slope.

$A$ bacterial population grows at a constant rate per minute. If the logarithm of the population size is plotted against time, what is the shape of the graph?

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