The population of ground squirrels in a public park is measured to be 100. The growth of the population over time can be modeled by P (t) = 600 / (1+5base e ^-0.5t), with P representing the number of squirrels and t cu d. in months after the infuriating population measurement. According to this model, what is the maximum bed of squirrels the park can support?

Question

Donavan Mckinney

Mathematics

10 November, 20:47

The population of ground squirrels in a public park is measured to be 100. The growth of the population over time can be modeled by P (t) = 600 / (1+5base e ^-0.5t), with P representing the number of squirrels and t cu d. in months after the infuriating population measurement. According to this model, what is the maximum bed of squirrels the park can support?

+3

Answers (1)

Know the Answer?

Tara Hardin · Answer 1

600

Step-by-step explanation:

As t gets very large, the exponential term goes to zero, and the expression nears the value ...

P (∞) = 600 / (1 + 5·0) = 600

The maximum number of squirrels the park can support is modeled as being 600.