Question

select the correct answer from each drop-down menu.

to study population growth in rats, a team of researchers placed a few rats on an uninhabited island with very few predators. the table records their observations over 31 days.

\

$$\begin{tabular}{|c|c|} \\hline day & rat population \\\\ \\hline 1 & 4 \\\\ \\hline 12 & 12 \\\\ \\hline 21 & 35 \\\\ \\hline 26 & 62 \\\\ \\hline 28 & 86 \\\\ \\hline 29 & 107 \\\\ \\hline 30 & 115 \\\\ \\hline 31 & 132 \\\\ \\hline \\end{tabular}$$

the data shows choose an answer trend.

based on the table, we can assume that the rat population on the \\(34^{\text{th}}\\) day will choose an answer.

options for the second drop-down:

• be around 130
• be around 160
• be around 180
• not change

Explanation:

Analyze the growth trend of the population data

$$
LATEXBLOCK0
$$

The rate of growth is increasing rapidly over time, which indicates an exponential growth trend.

Estimate the population on the 34th day

$$
LATEXBLOCK1
$$

Comparing with the dropdown options ("be around 130", "be around 160", "be around 180", "not change"), the closest value is "be around 180".

Answer:

To study population growth in rats, a team of researchers placed a few rats on an uninhabited island with very few predators. The table records their observations over 31 days.

The data shows <blank>an exponential</blank> trend.

Based on the table, we can assume that the rat population on the \(34^{\text{th}}\) day will <blank>be around 180</blank>.