Theoretically, population size will grow exponentially if everybody reproduces maximally but the fact that population size, in reality, is limited because of
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Solution
Exponential growth is not a very sustainable state of affairs since it depends on infinite amounts of resources (which tend not to exist in the real world).
It may happen for a while if there are few individuals and many resources. But when the number of individuals gets large enough, resources start to get used up, slowing the growth rate. Eventually, the growth rate will plateau, or level off, making an S-shaped curve. The population size at which it levels off, which represents the maximum population size a particular environment can support is called the carrying capacity.