Engage with knowledgeable experts and get accurate answers on IDNLearn.com. Join our community to receive timely and reliable responses to your questions from knowledgeable professionals.

A bear population is increasing by 5% each year. This year, there 43 bears. How many bears will there be next year? Round your answer to the nearest whole number.

Sagot :

Exponential Growth

If a population has exponential growth, starting from an initial population Po, then the future number of members of the population is given by:

[tex]P(t)=P_o\cdot(1+r)^t[/tex]

Where r is the growth rate and t is the time.

We are given the current population of bears Po = 43 and the increasing rate of r = 5% = 0.05 each year, thus the model can be written as:

[tex]\begin{gathered} P(t)=43\cdot(1+0.05)^t \\ \text{Calculating:} \\ P(t)=43\cdot(1.05)^t \end{gathered}[/tex]

Next year (t = 1), the population is expected to be:

[tex]\begin{gathered} P(1)=43\cdot(1.05)^1 \\ P(1)=43\cdot(1.05) \\ P(1)\approx45 \end{gathered}[/tex]

There will be 45 bears next year

Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. Your questions find answers at IDNLearn.com. Thanks for visiting, and come back for more accurate and reliable solutions.