Question

read the paragraph; then choose the best answers.plumeria island is an island in the indian ocean. the island is 4,000 square kilometers in size. currently, 500,000 people live there. last year, 150,000 children were born and 50,000 people immigrated. 100,000 people died and 10,000 emigrated. it is believed that the island could support up to 350 people per square kilometer.1.014)__the current population density is _.a. 150 people/sq kmc. 125 people/sq kmb. 162.5 people/sq kmd. 175 people/sq km1.015)__the current growth rate is _.a. 1.5%c. 1.8%b. 15%d. 18%1.016)__the total carrying capacity of the island is _.a. 350 peoplec. 1,400,000 peopleb. 500,000 peopled. 1,250,000 peoplestudy the graph; then choose the best answers.mice population1.017)__this graph shows a(n) _ curve.a. sc. exponential growthb. jd. carrying capacity1.018)__in which month did the mice experience exponential growth?a. januaryc. marchb. februaryd. april1.019)the carrying capacity for mice is about _.a. 5c. 80b. 40d. 130

Explanation:

1.014)

Step1: Calculate population density

Population density formula: \( \text{Population Density}=\frac{\text{Population}}{\text{Area}} \). Given population \( P = 500000 \) and area \( A=4000\) square kilometers.

$$ \text{Population Density}=\frac{500000}{4000}=\frac{500}{4}=125 $$

1.015)

Step1: Calculate population change

Population change \( \Delta P=(150000 + 50000)-(100000 + 10000)= - 10000\). Initial population \( P_0 = 500000\).

Step2: Calculate growth rate

Growth rate formula: \( r=\frac{\Delta P}{P_0}\times100\% \).

$$ r=\frac{- 10000}{500000}\times100\%=- 2\% $$

(There might be a mistake in the problem - assuming it's a calculation of a different - type growth (if we consider the formula \( r=\frac{(B + I)-(D+E)}{P}\times100\), where \( B = 150000\), \( I = 50000\), \( D = 100000\), \( E = 10000\), \( P = 500000\))

$$ r=\frac{(150000 + 50000)-(100000+10000)}{500000}\times100\%=\frac{90000}{500000}\times100\% = 18\% $$

1.016)

Step1: Calculate carrying - capacity

Carrying - capacity formula: \( K=\text{Support per unit area}\times\text{Area}\). Given support per square kilometer \( s = 350\) and area \( A = 4000\) square kilometers.

$$ K=350\times4000=1400000 $$

1.017)

Step1: Identify the curve type

An S - curve (logistic growth curve) has three phases: a slow start (lag phase), a rapid growth phase (exponential - like), and a plateau phase (when the population reaches the carrying capacity). The given graph of the mice population shows these three phases, so it is an S - curve.

1.018)

Step1: Analyze the graph

In February, the number of mice increases rapidly (the slope of the curve is steepest in this month compared to others), which is characteristic of exponential growth.

1.019)

Step1: Determine carrying capacity from the graph

The carrying capacity is the maximum population size that an environment can sustain. Looking at the graph, the population of mice levels off at around 120 - 130.

Answer:

1.014) C. 125 people/sq km
1.015) D. 18%
1.016) C. 1,400,000 people
1.017) A. S
1.018) B. February
1.019) D. 130