Problem Set #2-Populations-BIOS 230 Spring 2018(1)-Protected View-Saved to this

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Problem Set #2-Populations-BIOS 230 Spring 2018(1)-Protected View-Saved to this PC Raza, Samrah H -O File Home Insert Design LayoutReferences Mailings ReviewView Help FOXITPDF Tell me what you want to do Enable Editing PROTECTED VIEW Be carefu files from the Internet can contain viruses. Unless you need to edit, it's safer to stay in Protected View. Document Recovery Word has recovered the following files Save the ones you wish to keep. Documentl [AutoRecovered] Version created from the last. 3/23/2018 6:57 PM 3. In 2017, the total population of wild Galapagos tortoises was 3,122. In 2018, the total population of tortoises was 2,984. If current population trends continue, what will the total population of Galapagos tortoises be in 10 years? Round off to the nearest whole animal. (2 pts.) Close Page 1 of 5 625 words ??? + 130% O Type here to search 5:39 PM 4/3/2018 ^ Ef

Explanation / Answer

In 2017 the population of tortoise was 3122.

In 2018 the population reduced to 2984.

Nt = No e^rt

Nt = 3122; No = 2984; t = 1 year (from 2017 to 2018)

Applying the values to the equation:

(3122 / 2984) = e^rt = 1.04; (if e^x = N; then, loge N = x)

Taking log on both sides, loge (1.04) = rt;

0.017 = r * 1; r = 0.017 (= intrinsic rate of decrease of the population)

Now, let Nt be the population after 10 years (2027); and No be the initial population (=3122)

Applying these values to the formula:

Nt = 3122 * e ^ -0.017 * 10 (because the population has decreased)

Nt = (3122 * 0.84) ~2622

So, at this current rate, the population in 10 years will be 2622.

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