If a population with abundant resources and no predators has an intrinsic rate of increase of 0.2 and a starting population size of 20 individuals, what is the approximate population size at the end of 4 days of growth? Use a chart similar to the one shown in the tutorial for exponential growth.Multiple Choice35 individuals36 individuals42 individuals50 individuals
Question
If a population with abundant resources and no predators has an intrinsic rate of increase of 0.2 and a starting population size of 20 individuals, what is the approximate population size at the end of 4 days of growth? Use a chart similar to the one shown in the tutorial for exponential growth.Multiple Choice35 individuals36 individuals42 individuals50 individuals
Solution
To solve this problem, we can use the formula for exponential growth, which is:
N = N0 * e^(rt)
where: N is the final population size, N0 is the initial population size, r is the intrinsic rate of increase, and t is the time.
Given in the problem, we have N0 = 20, r = 0.2, and t = 4. Substituting these values into the formula, we get:
N = 20 * e^(0.2*4)
Calculating this gives us approximately 36. So, the approximate population size at the end of 4 days of growth is 36 individuals.
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