Question

a community of rabbits begins with an initial population of 96 and grows 7% per month. make a table that shows the population for each of the next 15 months. based on the table, find the doubling time of the population and briefly discuss how well the approximate doubling time formula works for this case.

complete the table below for months 8 through 15.
(round to the nearest whole number as needed.)
\

$$\begin{tabular}{|c|c|} \\hline month & population \\\\ \\hline 8 & 165 \\\\ \\hline 9 & 176 \\\\ \\hline 10 & 189 \\\\ \\hline 11 & 202 \\\\ \\hline 12 & 216 \\\\ \\hline 13 & 231 \\\\ \\hline 14 & 248 \\\\ \\hline 15 & 265 \\\\ \\hline \\end{tabular}$$

based on previously calculated data, determine the doubling time of the population.

the doubling time of the population is between and months.
(type a whole number. use ascending order.)

Explanation:

Calculate population values using exponential growth

Using the Exponential Growth knowledge point

$$
LATEXBLOCK0
$$

Determine doubling time from data

Using the Doubling Time knowledge point

$$
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$$

Compare with approximate formula

Using the Rule of 70 knowledge point

$$
LATEXBLOCK2
$$

Answer:

Question 1

Complete the table below for months 8 through 15.
(Round to the nearest whole number as needed.)

Month	Population
9	176
10	189
11	202
12	218
13	231
14	248
15	265

Question 2

Based on previously calculated data, determine the doubling time of the population.

The doubling time of the population is between <blank>10</blank> and <blank>11</blank> months.