Question to test your Exponential Functions knowledge

Question

In a newly established wildlife reserve, $100$ rabbits are introduced into an area with an estimated carrying capacity of $10 comma 000$ rabbits. A logistic model of the rabbit population is given by $R(t) = \frac{1,000,000}{100 + 9900 e^{-0.3t}}$ , where $t$ is measured in years. Determine the time when the population reaches $6 comma 000$ rabbits. Also, find the time when the population reaches $90 percent sign$ of the carrying capacity. Round the final answer to the nearest integer.

Accepted Answer

The time when the population reaches $100$ rabbits is approximately $17 years$ .

The time when the population reaches $90\%$ of the carrying capacity ( $9 comma 000$ rabbits) is approximately $23 years$ .

Answer

The time when the population reaches $100$ rabbits is approximately $17 years$ .

The time when the population reaches $90\%$ of the carrying capacity ( $9 comma 000$ rabbits) is approximately $23 years$ .

Answer

The time when the population reaches $100$ rabbits is approximately $17 years$ .

The time when the population reaches $90\%$ of the carrying capacity ( $9 comma 000$ rabbits) is approximately $23 years$ .

Answer

The time when the population reaches $100$ rabbits is approximately $17 years$ .

The time when the population reaches $90\%$ of the carrying capacity ( $9 comma 000$ rabbits) is approximately $23 years$ .

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